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Finding the Third Proportional to 8,309.50 and 12,470.34

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Solution

The third proportional to 8,309.50 and 12,470.34 is: 18,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.50 : 12,470.34 = 12,470.34 : x
  2. Step 2: Convert to fraction form
    8,309.50/12,470.34 = 12,470.34/x
  3. Step 3: Cross multiply
    8,309.50x = 12,470.34 × 12,470.34
  4. Step 4: Simplify right side
    8,309.50x = 155,509,473.24
  5. Step 5: Solve for x
    x = 155,509,473.24/8,309.50
  6. Step 6: Final answer
    x = 18,714.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.