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Finding the Third Proportional to 11,154.80 and 24,253.59

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Solution

The third proportional to 11,154.80 and 24,253.59 is: 52,733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.80 : 24,253.59 = 24,253.59 : x
  2. Step 2: Convert to fraction form
    11,154.80/24,253.59 = 24,253.59/x
  3. Step 3: Cross multiply
    11,154.80x = 24,253.59 × 24,253.59
  4. Step 4: Simplify right side
    11,154.80x = 588,236,809.79
  5. Step 5: Solve for x
    x = 588,236,809.79/11,154.80
  6. Step 6: Final answer
    x = 52,733.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.