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Finding the Third Proportional to 15,882.75 and 34,500.94

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Solution

The third proportional to 15,882.75 and 34,500.94 is: 74,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.75 : 34,500.94 = 34,500.94 : x
  2. Step 2: Convert to fraction form
    15,882.75/34,500.94 = 34,500.94/x
  3. Step 3: Cross multiply
    15,882.75x = 34,500.94 × 34,500.94
  4. Step 4: Simplify right side
    15,882.75x = 1,190,314,688.38
  5. Step 5: Solve for x
    x = 1,190,314,688.38/15,882.75
  6. Step 6: Final answer
    x = 74,943.87

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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.