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Finding the Third Proportional to 8,064.56 and 17,587.13

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Solution

The third proportional to 8,064.56 and 17,587.13 is: 38,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.56 : 17,587.13 = 17,587.13 : x
  2. Step 2: Convert to fraction form
    8,064.56/17,587.13 = 17,587.13/x
  3. Step 3: Cross multiply
    8,064.56x = 17,587.13 × 17,587.13
  4. Step 4: Simplify right side
    8,064.56x = 309,306,965.77
  5. Step 5: Solve for x
    x = 309,306,965.77/8,064.56
  6. Step 6: Final answer
    x = 38,353.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.