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Finding the Third Proportional to 4,480.31 and 6,860.95

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Solution

The third proportional to 4,480.31 and 6,860.95 is: 10,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480.31 : 6,860.95 = 6,860.95 : x
  2. Step 2: Convert to fraction form
    4,480.31/6,860.95 = 6,860.95/x
  3. Step 3: Cross multiply
    4,480.31x = 6,860.95 × 6,860.95
  4. Step 4: Simplify right side
    4,480.31x = 47,072,677.78
  5. Step 5: Solve for x
    x = 47,072,677.78/4,480.31
  6. Step 6: Final answer
    x = 10,506.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.