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Finding the Third Proportional to 6,765.19 and 10,126.69

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Solution

The third proportional to 6,765.19 and 10,126.69 is: 15,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.19 : 10,126.69 = 10,126.69 : x
  2. Step 2: Convert to fraction form
    6,765.19/10,126.69 = 10,126.69/x
  3. Step 3: Cross multiply
    6,765.19x = 10,126.69 × 10,126.69
  4. Step 4: Simplify right side
    6,765.19x = 102,549,799.72
  5. Step 5: Solve for x
    x = 102,549,799.72/6,765.19
  6. Step 6: Final answer
    x = 15,158.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.