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Finding the Third Proportional to 7,352.65 and 8,127.21

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Solution

The third proportional to 7,352.65 and 8,127.21 is: 8,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.65 : 8,127.21 = 8,127.21 : x
  2. Step 2: Convert to fraction form
    7,352.65/8,127.21 = 8,127.21/x
  3. Step 3: Cross multiply
    7,352.65x = 8,127.21 × 8,127.21
  4. Step 4: Simplify right side
    7,352.65x = 66,051,557.62
  5. Step 5: Solve for x
    x = 66,051,557.62/7,352.65
  6. Step 6: Final answer
    x = 8,983.37

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.