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Finding the Third Proportional to 24,789 and 54,607.50

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Solution

The third proportional to 24,789 and 54,607.50 is: 120,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,789 : 54,607.50 = 54,607.50 : x
  2. Step 2: Convert to fraction form
    24,789/54,607.50 = 54,607.50/x
  3. Step 3: Cross multiply
    24,789x = 54,607.50 × 54,607.50
  4. Step 4: Simplify right side
    24,789x = 2,981,979,056.25
  5. Step 5: Solve for x
    x = 2,981,979,056.25/24,789
  6. Step 6: Final answer
    x = 120,294.45

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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.