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Finding the Third Proportional to 7,534.69 and 10,747.69

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Solution

The third proportional to 7,534.69 and 10,747.69 is: 15,330.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.69 : 10,747.69 = 10,747.69 : x
  2. Step 2: Convert to fraction form
    7,534.69/10,747.69 = 10,747.69/x
  3. Step 3: Cross multiply
    7,534.69x = 10,747.69 × 10,747.69
  4. Step 4: Simplify right side
    7,534.69x = 115,512,786.60
  5. Step 5: Solve for x
    x = 115,512,786.60/7,534.69
  6. Step 6: Final answer
    x = 15,330.80

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.