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Finding the Third Proportional to 23,824.13 and 44,246.25

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Solution

The third proportional to 23,824.13 and 44,246.25 is: 82,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.13 : 44,246.25 = 44,246.25 : x
  2. Step 2: Convert to fraction form
    23,824.13/44,246.25 = 44,246.25/x
  3. Step 3: Cross multiply
    23,824.13x = 44,246.25 × 44,246.25
  4. Step 4: Simplify right side
    23,824.13x = 1,957,730,639.06
  5. Step 5: Solve for x
    x = 1,957,730,639.06/23,824.13
  6. Step 6: Final answer
    x = 82,174.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.