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Finding the Third Proportional to 9,349.31 and 20,458.13

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Solution

The third proportional to 9,349.31 and 20,458.13 is: 44,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.31 : 20,458.13 = 20,458.13 : x
  2. Step 2: Convert to fraction form
    9,349.31/20,458.13 = 20,458.13/x
  3. Step 3: Cross multiply
    9,349.31x = 20,458.13 × 20,458.13
  4. Step 4: Simplify right side
    9,349.31x = 418,534,878.52
  5. Step 5: Solve for x
    x = 418,534,878.52/9,349.31
  6. Step 6: Final answer
    x = 44,766.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.