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Finding the Third Proportional to 15,588.75 and 34,458.75

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Solution

The third proportional to 15,588.75 and 34,458.75 is: 76,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,588.75 : 34,458.75 = 34,458.75 : x
  2. Step 2: Convert to fraction form
    15,588.75/34,458.75 = 34,458.75/x
  3. Step 3: Cross multiply
    15,588.75x = 34,458.75 × 34,458.75
  4. Step 4: Simplify right side
    15,588.75x = 1,187,405,451.56
  5. Step 5: Solve for x
    x = 1,187,405,451.56/15,588.75
  6. Step 6: Final answer
    x = 76,170.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.