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Finding the Third Proportional to 27,457.31 and 41,419.13

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Solution

The third proportional to 27,457.31 and 41,419.13 is: 62,480.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,457.31 : 41,419.13 = 41,419.13 : x
  2. Step 2: Convert to fraction form
    27,457.31/41,419.13 = 41,419.13/x
  3. Step 3: Cross multiply
    27,457.31x = 41,419.13 × 41,419.13
  4. Step 4: Simplify right side
    27,457.31x = 1,715,543,915.77
  5. Step 5: Solve for x
    x = 1,715,543,915.77/27,457.31
  6. Step 6: Final answer
    x = 62,480.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.