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Finding the Third Proportional to 27,764 and 59,959

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Solution

The third proportional to 27,764 and 59,959 is: 129,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764 : 59,959 = 59,959 : x
  2. Step 2: Convert to fraction form
    27,764/59,959 = 59,959/x
  3. Step 3: Cross multiply
    27,764x = 59,959 × 59,959
  4. Step 4: Simplify right side
    27,764x = 3,595,081,681
  5. Step 5: Solve for x
    x = 3,595,081,681/27,764
  6. Step 6: Final answer
    x = 129,487.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.