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Finding the Third Proportional to 27,780 and 59,924

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Solution

The third proportional to 27,780 and 59,924 is: 129,261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780 : 59,924 = 59,924 : x
  2. Step 2: Convert to fraction form
    27,780/59,924 = 59,924/x
  3. Step 3: Cross multiply
    27,780x = 59,924 × 59,924
  4. Step 4: Simplify right side
    27,780x = 3,590,885,776
  5. Step 5: Solve for x
    x = 3,590,885,776/27,780
  6. Step 6: Final answer
    x = 129,261.55

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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.