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Finding the Third Proportional to 24,147 and 36,373.50

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Solution

The third proportional to 24,147 and 36,373.50 is: 54,790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147 : 36,373.50 = 36,373.50 : x
  2. Step 2: Convert to fraction form
    24,147/36,373.50 = 36,373.50/x
  3. Step 3: Cross multiply
    24,147x = 36,373.50 × 36,373.50
  4. Step 4: Simplify right side
    24,147x = 1,323,031,502.25
  5. Step 5: Solve for x
    x = 1,323,031,502.25/24,147
  6. Step 6: Final answer
    x = 54,790.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.