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Finding the Third Proportional to 27,428 and 60,092

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Solution

The third proportional to 27,428 and 60,092 is: 131,655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,428 : 60,092 = 60,092 : x
  2. Step 2: Convert to fraction form
    27,428/60,092 = 60,092/x
  3. Step 3: Cross multiply
    27,428x = 60,092 × 60,092
  4. Step 4: Simplify right side
    27,428x = 3,611,048,464
  5. Step 5: Solve for x
    x = 3,611,048,464/27,428
  6. Step 6: Final answer
    x = 131,655.55

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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.