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Finding the Third Proportional to 7,487.44 and 10,666.69

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Solution

The third proportional to 7,487.44 and 10,666.69 is: 15,195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487.44 : 10,666.69 = 10,666.69 : x
  2. Step 2: Convert to fraction form
    7,487.44/10,666.69 = 10,666.69/x
  3. Step 3: Cross multiply
    7,487.44x = 10,666.69 × 10,666.69
  4. Step 4: Simplify right side
    7,487.44x = 113,778,222.22
  5. Step 5: Solve for x
    x = 113,778,222.22/7,487.44
  6. Step 6: Final answer
    x = 15,195.88

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.