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Finding the Third Proportional to 44,448 and 66,192

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Solution

The third proportional to 44,448 and 66,192 is: 98,573.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,448 : 66,192 = 66,192 : x
  2. Step 2: Convert to fraction form
    44,448/66,192 = 66,192/x
  3. Step 3: Cross multiply
    44,448x = 66,192 × 66,192
  4. Step 4: Simplify right side
    44,448x = 4,381,380,864
  5. Step 5: Solve for x
    x = 4,381,380,864/44,448
  6. Step 6: Final answer
    x = 98,573.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.