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Finding the Third Proportional to 37,903 and 59,282

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Solution

The third proportional to 37,903 and 59,282 is: 92,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,903 : 59,282 = 59,282 : x
  2. Step 2: Convert to fraction form
    37,903/59,282 = 59,282/x
  3. Step 3: Cross multiply
    37,903x = 59,282 × 59,282
  4. Step 4: Simplify right side
    37,903x = 3,514,355,524
  5. Step 5: Solve for x
    x = 3,514,355,524/37,903
  6. Step 6: Final answer
    x = 92,719.72

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