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Finding the Third Proportional to 5,162.80 and 7,732.81

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Solution

The third proportional to 5,162.80 and 7,732.81 is: 11,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.80 : 7,732.81 = 7,732.81 : x
  2. Step 2: Convert to fraction form
    5,162.80/7,732.81 = 7,732.81/x
  3. Step 3: Cross multiply
    5,162.80x = 7,732.81 × 7,732.81
  4. Step 4: Simplify right side
    5,162.80x = 59,796,358.95
  5. Step 5: Solve for x
    x = 59,796,358.95/5,162.80
  6. Step 6: Final answer
    x = 11,582.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.