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Finding the Third Proportional to 40,526 and 63,249

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Solution

The third proportional to 40,526 and 63,249 is: 98,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,526 : 63,249 = 63,249 : x
  2. Step 2: Convert to fraction form
    40,526/63,249 = 63,249/x
  3. Step 3: Cross multiply
    40,526x = 63,249 × 63,249
  4. Step 4: Simplify right side
    40,526x = 4,000,436,001
  5. Step 5: Solve for x
    x = 4,000,436,001/40,526
  6. Step 6: Final answer
    x = 98,712.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.