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Finding the Third Proportional to 20,178 and 26,246.25

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Solution

The third proportional to 20,178 and 26,246.25 is: 34,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178 : 26,246.25 = 26,246.25 : x
  2. Step 2: Convert to fraction form
    20,178/26,246.25 = 26,246.25/x
  3. Step 3: Cross multiply
    20,178x = 26,246.25 × 26,246.25
  4. Step 4: Simplify right side
    20,178x = 688,865,639.06
  5. Step 5: Solve for x
    x = 688,865,639.06/20,178
  6. Step 6: Final answer
    x = 34,139.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.