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Finding the Third Proportional to 27,220 and 58,952

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Solution

The third proportional to 27,220 and 58,952 is: 127,675.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,220 : 58,952 = 58,952 : x
  2. Step 2: Convert to fraction form
    27,220/58,952 = 58,952/x
  3. Step 3: Cross multiply
    27,220x = 58,952 × 58,952
  4. Step 4: Simplify right side
    27,220x = 3,475,338,304
  5. Step 5: Solve for x
    x = 3,475,338,304/27,220
  6. Step 6: Final answer
    x = 127,675.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.