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Finding the Third Proportional to 41,080 and 65,386

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Solution

The third proportional to 41,080 and 65,386 is: 104,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,080 : 65,386 = 65,386 : x
  2. Step 2: Convert to fraction form
    41,080/65,386 = 65,386/x
  3. Step 3: Cross multiply
    41,080x = 65,386 × 65,386
  4. Step 4: Simplify right side
    41,080x = 4,275,328,996
  5. Step 5: Solve for x
    x = 4,275,328,996/41,080
  6. Step 6: Final answer
    x = 104,073.25

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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.