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Finding the Third Proportional to 41,951 and 63,537

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Solution

The third proportional to 41,951 and 63,537 is: 96,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,951 : 63,537 = 63,537 : x
  2. Step 2: Convert to fraction form
    41,951/63,537 = 63,537/x
  3. Step 3: Cross multiply
    41,951x = 63,537 × 63,537
  4. Step 4: Simplify right side
    41,951x = 4,036,950,369
  5. Step 5: Solve for x
    x = 4,036,950,369/41,951
  6. Step 6: Final answer
    x = 96,230.13

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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.