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Finding the Third Proportional to 6,414.19 and 8,980.88

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Solution

The third proportional to 6,414.19 and 8,980.88 is: 12,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.19 : 8,980.88 = 8,980.88 : x
  2. Step 2: Convert to fraction form
    6,414.19/8,980.88 = 8,980.88/x
  3. Step 3: Cross multiply
    6,414.19x = 8,980.88 × 8,980.88
  4. Step 4: Simplify right side
    6,414.19x = 80,656,115.77
  5. Step 5: Solve for x
    x = 80,656,115.77/6,414.19
  6. Step 6: Final answer
    x = 12,574.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.