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Finding the Third Proportional to 27,701 and 60,940

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Solution

The third proportional to 27,701 and 60,940 is: 134,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,701 : 60,940 = 60,940 : x
  2. Step 2: Convert to fraction form
    27,701/60,940 = 60,940/x
  3. Step 3: Cross multiply
    27,701x = 60,940 × 60,940
  4. Step 4: Simplify right side
    27,701x = 3,713,683,600
  5. Step 5: Solve for x
    x = 3,713,683,600/27,701
  6. Step 6: Final answer
    x = 134,063.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.