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Finding the Third Proportional to 8,374.22 and 12,960.84

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Solution

The third proportional to 8,374.22 and 12,960.84 is: 20,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.22 : 12,960.84 = 12,960.84 : x
  2. Step 2: Convert to fraction form
    8,374.22/12,960.84 = 12,960.84/x
  3. Step 3: Cross multiply
    8,374.22x = 12,960.84 × 12,960.84
  4. Step 4: Simplify right side
    8,374.22x = 167,983,470.71
  5. Step 5: Solve for x
    x = 167,983,470.71/8,374.22
  6. Step 6: Final answer
    x = 20,059.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.