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Finding the Third Proportional to 41,397 and 65,579

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Solution

The third proportional to 41,397 and 65,579 is: 103,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,397 : 65,579 = 65,579 : x
  2. Step 2: Convert to fraction form
    41,397/65,579 = 65,579/x
  3. Step 3: Cross multiply
    41,397x = 65,579 × 65,579
  4. Step 4: Simplify right side
    41,397x = 4,300,605,241
  5. Step 5: Solve for x
    x = 4,300,605,241/41,397
  6. Step 6: Final answer
    x = 103,886.88

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.