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Finding the Third Proportional to 38,163 and 56,139

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Solution

The third proportional to 38,163 and 56,139 is: 82,582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,163 : 56,139 = 56,139 : x
  2. Step 2: Convert to fraction form
    38,163/56,139 = 56,139/x
  3. Step 3: Cross multiply
    38,163x = 56,139 × 56,139
  4. Step 4: Simplify right side
    38,163x = 3,151,587,321
  5. Step 5: Solve for x
    x = 3,151,587,321/38,163
  6. Step 6: Final answer
    x = 82,582.27

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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.