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Finding the Third Proportional to 15,927.50 and 34,087

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Solution

The third proportional to 15,927.50 and 34,087 is: 72,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,927.50 : 34,087 = 34,087 : x
  2. Step 2: Convert to fraction form
    15,927.50/34,087 = 34,087/x
  3. Step 3: Cross multiply
    15,927.50x = 34,087 × 34,087
  4. Step 4: Simplify right side
    15,927.50x = 1,161,923,569
  5. Step 5: Solve for x
    x = 1,161,923,569/15,927.50
  6. Step 6: Final answer
    x = 72,950.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.