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Finding the Third Proportional to 2,516.06 and 3,046.78

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Solution

The third proportional to 2,516.06 and 3,046.78 is: 3,689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.06 : 3,046.78 = 3,046.78 : x
  2. Step 2: Convert to fraction form
    2,516.06/3,046.78 = 3,046.78/x
  3. Step 3: Cross multiply
    2,516.06x = 3,046.78 × 3,046.78
  4. Step 4: Simplify right side
    2,516.06x = 9,282,875.99
  5. Step 5: Solve for x
    x = 9,282,875.99/2,516.06
  6. Step 6: Final answer
    x = 3,689.45

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.