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Finding the Third Proportional to 8,309.25 and 12,652.88

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Solution

The third proportional to 8,309.25 and 12,652.88 is: 19,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.25 : 12,652.88 = 12,652.88 : x
  2. Step 2: Convert to fraction form
    8,309.25/12,652.88 = 12,652.88/x
  3. Step 3: Cross multiply
    8,309.25x = 12,652.88 × 12,652.88
  4. Step 4: Simplify right side
    8,309.25x = 160,095,245.77
  5. Step 5: Solve for x
    x = 160,095,245.77/8,309.25
  6. Step 6: Final answer
    x = 19,267.11

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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.