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Finding the Third Proportional to 5,644.69 and 7,507.69

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Solution

The third proportional to 5,644.69 and 7,507.69 is: 9,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.69 : 7,507.69 = 7,507.69 : x
  2. Step 2: Convert to fraction form
    5,644.69/7,507.69 = 7,507.69/x
  3. Step 3: Cross multiply
    5,644.69x = 7,507.69 × 7,507.69
  4. Step 4: Simplify right side
    5,644.69x = 56,365,371.60
  5. Step 5: Solve for x
    x = 56,365,371.60/5,644.69
  6. Step 6: Final answer
    x = 9,985.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.