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Finding the Third Proportional to 7,154.53 and 10,944.47

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Solution

The third proportional to 7,154.53 and 10,944.47 is: 16,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.53 : 10,944.47 = 10,944.47 : x
  2. Step 2: Convert to fraction form
    7,154.53/10,944.47 = 10,944.47/x
  3. Step 3: Cross multiply
    7,154.53x = 10,944.47 × 10,944.47
  4. Step 4: Simplify right side
    7,154.53x = 119,781,396.22
  5. Step 5: Solve for x
    x = 119,781,396.22/7,154.53
  6. Step 6: Final answer
    x = 16,742.03

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Why These Related Problems?

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