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Finding the Third Proportional to 3,281.77 and 4,781.95

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Solution

The third proportional to 3,281.77 and 4,781.95 is: 6,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.77 : 4,781.95 = 4,781.95 : x
  2. Step 2: Convert to fraction form
    3,281.77/4,781.95 = 4,781.95/x
  3. Step 3: Cross multiply
    3,281.77x = 4,781.95 × 4,781.95
  4. Step 4: Simplify right side
    3,281.77x = 22,867,075.69
  5. Step 5: Solve for x
    x = 22,867,075.69/3,281.77
  6. Step 6: Final answer
    x = 6,967.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.