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Finding the Third Proportional to 27,665.25 and 59,275.13

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Solution

The third proportional to 27,665.25 and 59,275.13 is: 127,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665.25 : 59,275.13 = 59,275.13 : x
  2. Step 2: Convert to fraction form
    27,665.25/59,275.13 = 59,275.13/x
  3. Step 3: Cross multiply
    27,665.25x = 59,275.13 × 59,275.13
  4. Step 4: Simplify right side
    27,665.25x = 3,513,540,443.77
  5. Step 5: Solve for x
    x = 3,513,540,443.77/27,665.25
  6. Step 6: Final answer
    x = 127,001.94

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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.