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Finding the Third Proportional to 2,729.95 and 6,166.76

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Solution

The third proportional to 2,729.95 and 6,166.76 is: 13,930.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.95 : 6,166.76 = 6,166.76 : x
  2. Step 2: Convert to fraction form
    2,729.95/6,166.76 = 6,166.76/x
  3. Step 3: Cross multiply
    2,729.95x = 6,166.76 × 6,166.76
  4. Step 4: Simplify right side
    2,729.95x = 38,028,901.92
  5. Step 5: Solve for x
    x = 38,028,901.92/2,729.95
  6. Step 6: Final answer
    x = 13,930.24

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.