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Finding the Third Proportional to 8,260.10 and 12,584.11

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Solution

The third proportional to 8,260.10 and 12,584.11 is: 19,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.10 : 12,584.11 = 12,584.11 : x
  2. Step 2: Convert to fraction form
    8,260.10/12,584.11 = 12,584.11/x
  3. Step 3: Cross multiply
    8,260.10x = 12,584.11 × 12,584.11
  4. Step 4: Simplify right side
    8,260.10x = 158,359,808.76
  5. Step 5: Solve for x
    x = 158,359,808.76/8,260.10
  6. Step 6: Final answer
    x = 19,171.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.