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Finding the Third Proportional to 41,448 and 63,746

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Solution

The third proportional to 41,448 and 63,746 is: 98,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,448 : 63,746 = 63,746 : x
  2. Step 2: Convert to fraction form
    41,448/63,746 = 63,746/x
  3. Step 3: Cross multiply
    41,448x = 63,746 × 63,746
  4. Step 4: Simplify right side
    41,448x = 4,063,552,516
  5. Step 5: Solve for x
    x = 4,063,552,516/41,448
  6. Step 6: Final answer
    x = 98,039.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.