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Finding the Third Proportional to 51,519.80 and 82,764.28

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Solution

The third proportional to 51,519.80 and 82,764.28 is: 132,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,519.80 : 82,764.28 = 82,764.28 : x
  2. Step 2: Convert to fraction form
    51,519.80/82,764.28 = 82,764.28/x
  3. Step 3: Cross multiply
    51,519.80x = 82,764.28 × 82,764.28
  4. Step 4: Simplify right side
    51,519.80x = 6,849,926,250.83
  5. Step 5: Solve for x
    x = 6,849,926,250.83/51,519.80
  6. Step 6: Final answer
    x = 132,957.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.