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Finding the Third Proportional to 38,176.50 and 56,124

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Solution

The third proportional to 38,176.50 and 56,124 is: 82,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,176.50 : 56,124 = 56,124 : x
  2. Step 2: Convert to fraction form
    38,176.50/56,124 = 56,124/x
  3. Step 3: Cross multiply
    38,176.50x = 56,124 × 56,124
  4. Step 4: Simplify right side
    38,176.50x = 3,149,903,376
  5. Step 5: Solve for x
    x = 3,149,903,376/38,176.50
  6. Step 6: Final answer
    x = 82,508.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.