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Finding the Third Proportional to 44,344.13 and 66,976.88

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Solution

The third proportional to 44,344.13 and 66,976.88 is: 101,161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,344.13 : 66,976.88 = 66,976.88 : x
  2. Step 2: Convert to fraction form
    44,344.13/66,976.88 = 66,976.88/x
  3. Step 3: Cross multiply
    44,344.13x = 66,976.88 × 66,976.88
  4. Step 4: Simplify right side
    44,344.13x = 4,485,901,784.77
  5. Step 5: Solve for x
    x = 4,485,901,784.77/44,344.13
  6. Step 6: Final answer
    x = 101,161.13

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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.