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Finding the Third Proportional to 27,789 and 59,952

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Solution

The third proportional to 27,789 and 59,952 is: 129,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,789 : 59,952 = 59,952 : x
  2. Step 2: Convert to fraction form
    27,789/59,952 = 59,952/x
  3. Step 3: Cross multiply
    27,789x = 59,952 × 59,952
  4. Step 4: Simplify right side
    27,789x = 3,594,242,304
  5. Step 5: Solve for x
    x = 3,594,242,304/27,789
  6. Step 6: Final answer
    x = 129,340.47

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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.