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Finding the Third Proportional to 5,644.69 and 7,264.69

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Solution

The third proportional to 5,644.69 and 7,264.69 is: 9,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.69 : 7,264.69 = 7,264.69 : x
  2. Step 2: Convert to fraction form
    5,644.69/7,264.69 = 7,264.69/x
  3. Step 3: Cross multiply
    5,644.69x = 7,264.69 × 7,264.69
  4. Step 4: Simplify right side
    5,644.69x = 52,775,684.47
  5. Step 5: Solve for x
    x = 52,775,684.47/5,644.69
  6. Step 6: Final answer
    x = 9,349.62

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.