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Finding the Third Proportional to 15,969.66 and 34,695.84

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Solution

The third proportional to 15,969.66 and 34,695.84 is: 75,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969.66 : 34,695.84 = 34,695.84 : x
  2. Step 2: Convert to fraction form
    15,969.66/34,695.84 = 34,695.84/x
  3. Step 3: Cross multiply
    15,969.66x = 34,695.84 × 34,695.84
  4. Step 4: Simplify right side
    15,969.66x = 1,203,801,573.52
  5. Step 5: Solve for x
    x = 1,203,801,573.52/15,969.66
  6. Step 6: Final answer
    x = 75,380.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.