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Finding the Third Proportional to 6,942.59 and 15,069.80

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Solution

The third proportional to 6,942.59 and 15,069.80 is: 32,710.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.59 : 15,069.80 = 15,069.80 : x
  2. Step 2: Convert to fraction form
    6,942.59/15,069.80 = 15,069.80/x
  3. Step 3: Cross multiply
    6,942.59x = 15,069.80 × 15,069.80
  4. Step 4: Simplify right side
    6,942.59x = 227,098,777.85
  5. Step 5: Solve for x
    x = 227,098,777.85/6,942.59
  6. Step 6: Final answer
    x = 32,710.98

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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.