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Finding the Third Proportional to 7,154.02 and 10,944.49

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Solution

The third proportional to 7,154.02 and 10,944.49 is: 16,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.02 : 10,944.49 = 10,944.49 : x
  2. Step 2: Convert to fraction form
    7,154.02/10,944.49 = 10,944.49/x
  3. Step 3: Cross multiply
    7,154.02x = 10,944.49 × 10,944.49
  4. Step 4: Simplify right side
    7,154.02x = 119,781,909.24
  5. Step 5: Solve for x
    x = 119,781,909.24/7,154.02
  6. Step 6: Final answer
    x = 16,743.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.