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Finding the Third Proportional to 4,312.25 and 9,414.50

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Solution

The third proportional to 4,312.25 and 9,414.50 is: 20,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.25 : 9,414.50 = 9,414.50 : x
  2. Step 2: Convert to fraction form
    4,312.25/9,414.50 = 9,414.50/x
  3. Step 3: Cross multiply
    4,312.25x = 9,414.50 × 9,414.50
  4. Step 4: Simplify right side
    4,312.25x = 88,632,810.25
  5. Step 5: Solve for x
    x = 88,632,810.25/4,312.25
  6. Step 6: Final answer
    x = 20,553.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.