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Finding the Third Proportional to 4,281.19 and 6,880.78

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Solution

The third proportional to 4,281.19 and 6,880.78 is: 11,058.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.19 : 6,880.78 = 6,880.78 : x
  2. Step 2: Convert to fraction form
    4,281.19/6,880.78 = 6,880.78/x
  3. Step 3: Cross multiply
    4,281.19x = 6,880.78 × 6,880.78
  4. Step 4: Simplify right side
    4,281.19x = 47,345,150.61
  5. Step 5: Solve for x
    x = 47,345,150.61/4,281.19
  6. Step 6: Final answer
    x = 11,058.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.