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Finding the Third Proportional to 5,666.25 and 8,521.13

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Solution

The third proportional to 5,666.25 and 8,521.13 is: 12,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.25 : 8,521.13 = 8,521.13 : x
  2. Step 2: Convert to fraction form
    5,666.25/8,521.13 = 8,521.13/x
  3. Step 3: Cross multiply
    5,666.25x = 8,521.13 × 8,521.13
  4. Step 4: Simplify right side
    5,666.25x = 72,609,571.27
  5. Step 5: Solve for x
    x = 72,609,571.27/5,666.25
  6. Step 6: Final answer
    x = 12,814.40

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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.