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Finding the Third Proportional to 10,654 and 24,884.50

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Solution

The third proportional to 10,654 and 24,884.50 is: 58,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654 : 24,884.50 = 24,884.50 : x
  2. Step 2: Convert to fraction form
    10,654/24,884.50 = 24,884.50/x
  3. Step 3: Cross multiply
    10,654x = 24,884.50 × 24,884.50
  4. Step 4: Simplify right side
    10,654x = 619,238,340.25
  5. Step 5: Solve for x
    x = 619,238,340.25/10,654
  6. Step 6: Final answer
    x = 58,122.62

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.