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Finding the Third Proportional to 27,218 and 59,428

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Solution

The third proportional to 27,218 and 59,428 is: 129,755.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,218 : 59,428 = 59,428 : x
  2. Step 2: Convert to fraction form
    27,218/59,428 = 59,428/x
  3. Step 3: Cross multiply
    27,218x = 59,428 × 59,428
  4. Step 4: Simplify right side
    27,218x = 3,531,687,184
  5. Step 5: Solve for x
    x = 3,531,687,184/27,218
  6. Step 6: Final answer
    x = 129,755.57

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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.