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Finding the Third Proportional to 24,924 and 54,789

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Solution

The third proportional to 24,924 and 54,789 is: 120,439.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,924 : 54,789 = 54,789 : x
  2. Step 2: Convert to fraction form
    24,924/54,789 = 54,789/x
  3. Step 3: Cross multiply
    24,924x = 54,789 × 54,789
  4. Step 4: Simplify right side
    24,924x = 3,001,834,521
  5. Step 5: Solve for x
    x = 3,001,834,521/24,924
  6. Step 6: Final answer
    x = 120,439.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.