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Finding the Third Proportional to 27,920 and 59,715

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Solution

The third proportional to 27,920 and 59,715 is: 127,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,920 : 59,715 = 59,715 : x
  2. Step 2: Convert to fraction form
    27,920/59,715 = 59,715/x
  3. Step 3: Cross multiply
    27,920x = 59,715 × 59,715
  4. Step 4: Simplify right side
    27,920x = 3,565,881,225
  5. Step 5: Solve for x
    x = 3,565,881,225/27,920
  6. Step 6: Final answer
    x = 127,717.81

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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.