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Finding the Third Proportional to 41,002 and 63,255

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Solution

The third proportional to 41,002 and 63,255 is: 97,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,002 : 63,255 = 63,255 : x
  2. Step 2: Convert to fraction form
    41,002/63,255 = 63,255/x
  3. Step 3: Cross multiply
    41,002x = 63,255 × 63,255
  4. Step 4: Simplify right side
    41,002x = 4,001,195,025
  5. Step 5: Solve for x
    x = 4,001,195,025/41,002
  6. Step 6: Final answer
    x = 97,585.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.