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Finding the Third Proportional to 10,206.84 and 15,611.91

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Solution

The third proportional to 10,206.84 and 15,611.91 is: 23,879.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.84 : 15,611.91 = 15,611.91 : x
  2. Step 2: Convert to fraction form
    10,206.84/15,611.91 = 15,611.91/x
  3. Step 3: Cross multiply
    10,206.84x = 15,611.91 × 15,611.91
  4. Step 4: Simplify right side
    10,206.84x = 243,731,616.76
  5. Step 5: Solve for x
    x = 243,731,616.76/10,206.84
  6. Step 6: Final answer
    x = 23,879.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.