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Finding the Third Proportional to 7,130.53 and 10,764.14

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Solution

The third proportional to 7,130.53 and 10,764.14 is: 16,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.53 : 10,764.14 = 10,764.14 : x
  2. Step 2: Convert to fraction form
    7,130.53/10,764.14 = 10,764.14/x
  3. Step 3: Cross multiply
    7,130.53x = 10,764.14 × 10,764.14
  4. Step 4: Simplify right side
    7,130.53x = 115,866,723.39
  5. Step 5: Solve for x
    x = 115,866,723.39/7,130.53
  6. Step 6: Final answer
    x = 16,249.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.