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Finding the Third Proportional to 3,168.49 and 4,789.76

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Solution

The third proportional to 3,168.49 and 4,789.76 is: 7,240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.49 : 4,789.76 = 4,789.76 : x
  2. Step 2: Convert to fraction form
    3,168.49/4,789.76 = 4,789.76/x
  3. Step 3: Cross multiply
    3,168.49x = 4,789.76 × 4,789.76
  4. Step 4: Simplify right side
    3,168.49x = 22,941,779.90
  5. Step 5: Solve for x
    x = 22,941,779.90/3,168.49
  6. Step 6: Final answer
    x = 7,240.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.