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Finding the Third Proportional to 7,538.06 and 10,899.56

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Solution

The third proportional to 7,538.06 and 10,899.56 is: 15,760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.06 : 10,899.56 = 10,899.56 : x
  2. Step 2: Convert to fraction form
    7,538.06/10,899.56 = 10,899.56/x
  3. Step 3: Cross multiply
    7,538.06x = 10,899.56 × 10,899.56
  4. Step 4: Simplify right side
    7,538.06x = 118,800,462.69
  5. Step 5: Solve for x
    x = 118,800,462.69/7,538.06
  6. Step 6: Final answer
    x = 15,760.08

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.