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Finding the Third Proportional to 8,145.56 and 13,116.09

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Solution

The third proportional to 8,145.56 and 13,116.09 is: 21,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.56 : 13,116.09 = 13,116.09 : x
  2. Step 2: Convert to fraction form
    8,145.56/13,116.09 = 13,116.09/x
  3. Step 3: Cross multiply
    8,145.56x = 13,116.09 × 13,116.09
  4. Step 4: Simplify right side
    8,145.56x = 172,031,915.26
  5. Step 5: Solve for x
    x = 172,031,915.26/8,145.56
  6. Step 6: Final answer
    x = 21,119.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.