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Finding the Third Proportional to 41,633 and 63,487

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Solution

The third proportional to 41,633 and 63,487 is: 96,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,633 : 63,487 = 63,487 : x
  2. Step 2: Convert to fraction form
    41,633/63,487 = 63,487/x
  3. Step 3: Cross multiply
    41,633x = 63,487 × 63,487
  4. Step 4: Simplify right side
    41,633x = 4,030,599,169
  5. Step 5: Solve for x
    x = 4,030,599,169/41,633
  6. Step 6: Final answer
    x = 96,812.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.