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Finding the Third Proportional to 4,701.80 and 6,281.30

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Solution

The third proportional to 4,701.80 and 6,281.30 is: 8,391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.80 : 6,281.30 = 6,281.30 : x
  2. Step 2: Convert to fraction form
    4,701.80/6,281.30 = 6,281.30/x
  3. Step 3: Cross multiply
    4,701.80x = 6,281.30 × 6,281.30
  4. Step 4: Simplify right side
    4,701.80x = 39,454,690.43
  5. Step 5: Solve for x
    x = 39,454,690.43/4,701.80
  6. Step 6: Final answer
    x = 8,391.41

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.