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Finding the Third Proportional to 27,562 and 59,707

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Solution

The third proportional to 27,562 and 59,707 is: 129,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,562 : 59,707 = 59,707 : x
  2. Step 2: Convert to fraction form
    27,562/59,707 = 59,707/x
  3. Step 3: Cross multiply
    27,562x = 59,707 × 59,707
  4. Step 4: Simplify right side
    27,562x = 3,564,925,849
  5. Step 5: Solve for x
    x = 3,564,925,849/27,562
  6. Step 6: Final answer
    x = 129,342.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.