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Finding the Third Proportional to 41,017 and 63,257

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Solution

The third proportional to 41,017 and 63,257 is: 97,555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,017 : 63,257 = 63,257 : x
  2. Step 2: Convert to fraction form
    41,017/63,257 = 63,257/x
  3. Step 3: Cross multiply
    41,017x = 63,257 × 63,257
  4. Step 4: Simplify right side
    41,017x = 4,001,448,049
  5. Step 5: Solve for x
    x = 4,001,448,049/41,017
  6. Step 6: Final answer
    x = 97,555.84

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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.