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Finding the Third Proportional to 38,903 and 61,757

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Solution

The third proportional to 38,903 and 61,757 is: 98,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,903 : 61,757 = 61,757 : x
  2. Step 2: Convert to fraction form
    38,903/61,757 = 61,757/x
  3. Step 3: Cross multiply
    38,903x = 61,757 × 61,757
  4. Step 4: Simplify right side
    38,903x = 3,813,927,049
  5. Step 5: Solve for x
    x = 3,813,927,049/38,903
  6. Step 6: Final answer
    x = 98,036.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.