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Finding the Third Proportional to 30,614.25 and 44,872.88

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Solution

The third proportional to 30,614.25 and 44,872.88 is: 65,772.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,614.25 : 44,872.88 = 44,872.88 : x
  2. Step 2: Convert to fraction form
    30,614.25/44,872.88 = 44,872.88/x
  3. Step 3: Cross multiply
    30,614.25x = 44,872.88 × 44,872.88
  4. Step 4: Simplify right side
    30,614.25x = 2,013,574,910.77
  5. Step 5: Solve for x
    x = 2,013,574,910.77/30,614.25
  6. Step 6: Final answer
    x = 65,772.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.