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Finding the Third Proportional to 6,564.20 and 10,937.14

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Solution

The third proportional to 6,564.20 and 10,937.14 is: 18,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.20 : 10,937.14 = 10,937.14 : x
  2. Step 2: Convert to fraction form
    6,564.20/10,937.14 = 10,937.14/x
  3. Step 3: Cross multiply
    6,564.20x = 10,937.14 × 10,937.14
  4. Step 4: Simplify right side
    6,564.20x = 119,620,938.24
  5. Step 5: Solve for x
    x = 119,620,938.24/6,564.20
  6. Step 6: Final answer
    x = 18,223.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.