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Finding the Third Proportional to 24,517.69 and 53,098.88

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Solution

The third proportional to 24,517.69 and 53,098.88 is: 114,998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.69 : 53,098.88 = 53,098.88 : x
  2. Step 2: Convert to fraction form
    24,517.69/53,098.88 = 53,098.88/x
  3. Step 3: Cross multiply
    24,517.69x = 53,098.88 × 53,098.88
  4. Step 4: Simplify right side
    24,517.69x = 2,819,490,526.27
  5. Step 5: Solve for x
    x = 2,819,490,526.27/24,517.69
  6. Step 6: Final answer
    x = 114,998.22

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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.