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Finding the Third Proportional to 5,710.71 and 8,566.07

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Solution

The third proportional to 5,710.71 and 8,566.07 is: 12,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.71 : 8,566.07 = 8,566.07 : x
  2. Step 2: Convert to fraction form
    5,710.71/8,566.07 = 8,566.07/x
  3. Step 3: Cross multiply
    5,710.71x = 8,566.07 × 8,566.07
  4. Step 4: Simplify right side
    5,710.71x = 73,377,493.68
  5. Step 5: Solve for x
    x = 73,377,493.68/5,710.71
  6. Step 6: Final answer
    x = 12,849.10

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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.