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Finding the Third Proportional to 38,901.75 and 64,134

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Solution

The third proportional to 38,901.75 and 64,134 is: 105,732.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,901.75 : 64,134 = 64,134 : x
  2. Step 2: Convert to fraction form
    38,901.75/64,134 = 64,134/x
  3. Step 3: Cross multiply
    38,901.75x = 64,134 × 64,134
  4. Step 4: Simplify right side
    38,901.75x = 4,113,169,956
  5. Step 5: Solve for x
    x = 4,113,169,956/38,901.75
  6. Step 6: Final answer
    x = 105,732.26

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.