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Finding the Third Proportional to 2,813.80 and 6,156.95

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Solution

The third proportional to 2,813.80 and 6,156.95 is: 13,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.80 : 6,156.95 = 6,156.95 : x
  2. Step 2: Convert to fraction form
    2,813.80/6,156.95 = 6,156.95/x
  3. Step 3: Cross multiply
    2,813.80x = 6,156.95 × 6,156.95
  4. Step 4: Simplify right side
    2,813.80x = 37,908,023.68
  5. Step 5: Solve for x
    x = 37,908,023.68/2,813.80
  6. Step 6: Final answer
    x = 13,472.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.