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Finding the Third Proportional to 41,748 and 61,086

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Solution

The third proportional to 41,748 and 61,086 is: 89,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,748 : 61,086 = 61,086 : x
  2. Step 2: Convert to fraction form
    41,748/61,086 = 61,086/x
  3. Step 3: Cross multiply
    41,748x = 61,086 × 61,086
  4. Step 4: Simplify right side
    41,748x = 3,731,499,396
  5. Step 5: Solve for x
    x = 3,731,499,396/41,748
  6. Step 6: Final answer
    x = 89,381.51

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.