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Finding the Third Proportional to 41,464 and 62,495

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Solution

The third proportional to 41,464 and 62,495 is: 94,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,464 : 62,495 = 62,495 : x
  2. Step 2: Convert to fraction form
    41,464/62,495 = 62,495/x
  3. Step 3: Cross multiply
    41,464x = 62,495 × 62,495
  4. Step 4: Simplify right side
    41,464x = 3,905,625,025
  5. Step 5: Solve for x
    x = 3,905,625,025/41,464
  6. Step 6: Final answer
    x = 94,193.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.