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Finding the Third Proportional to 16,157 and 24,252.56

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Solution

The third proportional to 16,157 and 24,252.56 is: 36,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157 : 24,252.56 = 24,252.56 : x
  2. Step 2: Convert to fraction form
    16,157/24,252.56 = 24,252.56/x
  3. Step 3: Cross multiply
    16,157x = 24,252.56 × 24,252.56
  4. Step 4: Simplify right side
    16,157x = 588,186,787.82
  5. Step 5: Solve for x
    x = 588,186,787.82/16,157
  6. Step 6: Final answer
    x = 36,404.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.