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Finding the Third Proportional to 27,547.31 and 40,915.97

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Solution

The third proportional to 27,547.31 and 40,915.97 is: 60,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.31 : 40,915.97 = 40,915.97 : x
  2. Step 2: Convert to fraction form
    27,547.31/40,915.97 = 40,915.97/x
  3. Step 3: Cross multiply
    27,547.31x = 40,915.97 × 40,915.97
  4. Step 4: Simplify right side
    27,547.31x = 1,674,116,498.75
  5. Step 5: Solve for x
    x = 1,674,116,498.75/27,547.31
  6. Step 6: Final answer
    x = 60,772.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.