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Finding the Third Proportional to 56,830.68 and 82,747.20

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Solution

The third proportional to 56,830.68 and 82,747.20 is: 120,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,830.68 : 82,747.20 = 82,747.20 : x
  2. Step 2: Convert to fraction form
    56,830.68/82,747.20 = 82,747.20/x
  3. Step 3: Cross multiply
    56,830.68x = 82,747.20 × 82,747.20
  4. Step 4: Simplify right side
    56,830.68x = 6,847,098,332.09
  5. Step 5: Solve for x
    x = 6,847,098,332.09/56,830.68
  6. Step 6: Final answer
    x = 120,482.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.