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Finding the Third Proportional to 38,141 and 59,535

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Solution

The third proportional to 38,141 and 59,535 is: 92,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,141 : 59,535 = 59,535 : x
  2. Step 2: Convert to fraction form
    38,141/59,535 = 59,535/x
  3. Step 3: Cross multiply
    38,141x = 59,535 × 59,535
  4. Step 4: Simplify right side
    38,141x = 3,544,416,225
  5. Step 5: Solve for x
    x = 3,544,416,225/38,141
  6. Step 6: Final answer
    x = 92,929.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.