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Finding the Third Proportional to 27,071 and 59,061

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Solution

The third proportional to 27,071 and 59,061 is: 128,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,071 : 59,061 = 59,061 : x
  2. Step 2: Convert to fraction form
    27,071/59,061 = 59,061/x
  3. Step 3: Cross multiply
    27,071x = 59,061 × 59,061
  4. Step 4: Simplify right side
    27,071x = 3,488,201,721
  5. Step 5: Solve for x
    x = 3,488,201,721/27,071
  6. Step 6: Final answer
    x = 128,853.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.