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Finding the Third Proportional to 27,707 and 59,354

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Solution

The third proportional to 27,707 and 59,354 is: 127,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,707 : 59,354 = 59,354 : x
  2. Step 2: Convert to fraction form
    27,707/59,354 = 59,354/x
  3. Step 3: Cross multiply
    27,707x = 59,354 × 59,354
  4. Step 4: Simplify right side
    27,707x = 3,522,897,316
  5. Step 5: Solve for x
    x = 3,522,897,316/27,707
  6. Step 6: Final answer
    x = 127,148.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.