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Finding the Third Proportional to 7,123.13 and 10,453.09

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Solution

The third proportional to 7,123.13 and 10,453.09 is: 15,339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.13 : 10,453.09 = 10,453.09 : x
  2. Step 2: Convert to fraction form
    7,123.13/10,453.09 = 10,453.09/x
  3. Step 3: Cross multiply
    7,123.13x = 10,453.09 × 10,453.09
  4. Step 4: Simplify right side
    7,123.13x = 109,267,168.95
  5. Step 5: Solve for x
    x = 109,267,168.95/7,123.13
  6. Step 6: Final answer
    x = 15,339.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.