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Finding the Third Proportional to 10,219.92 and 15,859.55

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Solution

The third proportional to 10,219.92 and 15,859.55 is: 24,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.92 : 15,859.55 = 15,859.55 : x
  2. Step 2: Convert to fraction form
    10,219.92/15,859.55 = 15,859.55/x
  3. Step 3: Cross multiply
    10,219.92x = 15,859.55 × 15,859.55
  4. Step 4: Simplify right side
    10,219.92x = 251,525,227.08
  5. Step 5: Solve for x
    x = 251,525,227.08/10,219.92
  6. Step 6: Final answer
    x = 24,611.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.