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Finding the Third Proportional to 15,765.19 and 34,489.69

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Solution

The third proportional to 15,765.19 and 34,489.69 is: 75,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.19 : 34,489.69 = 34,489.69 : x
  2. Step 2: Convert to fraction form
    15,765.19/34,489.69 = 34,489.69/x
  3. Step 3: Cross multiply
    15,765.19x = 34,489.69 × 34,489.69
  4. Step 4: Simplify right side
    15,765.19x = 1,189,538,543.85
  5. Step 5: Solve for x
    x = 1,189,538,543.85/15,765.19
  6. Step 6: Final answer
    x = 75,453.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.