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Finding the Third Proportional to 43,875.84 and 69,737.91

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Solution

The third proportional to 43,875.84 and 69,737.91 is: 110,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,875.84 : 69,737.91 = 69,737.91 : x
  2. Step 2: Convert to fraction form
    43,875.84/69,737.91 = 69,737.91/x
  3. Step 3: Cross multiply
    43,875.84x = 69,737.91 × 69,737.91
  4. Step 4: Simplify right side
    43,875.84x = 4,863,375,568.13
  5. Step 5: Solve for x
    x = 4,863,375,568.13/43,875.84
  6. Step 6: Final answer
    x = 110,844.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.