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Finding the Third Proportional to 15,882.80 and 34,225.98

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Solution

The third proportional to 15,882.80 and 34,225.98 is: 73,753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.80 : 34,225.98 = 34,225.98 : x
  2. Step 2: Convert to fraction form
    15,882.80/34,225.98 = 34,225.98/x
  3. Step 3: Cross multiply
    15,882.80x = 34,225.98 × 34,225.98
  4. Step 4: Simplify right side
    15,882.80x = 1,171,417,739.05
  5. Step 5: Solve for x
    x = 1,171,417,739.05/15,882.80
  6. Step 6: Final answer
    x = 73,753.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.