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Finding the Third Proportional to 2,708.56 and 4,045.13

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Solution

The third proportional to 2,708.56 and 4,045.13 is: 6,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.56 : 4,045.13 = 4,045.13 : x
  2. Step 2: Convert to fraction form
    2,708.56/4,045.13 = 4,045.13/x
  3. Step 3: Cross multiply
    2,708.56x = 4,045.13 × 4,045.13
  4. Step 4: Simplify right side
    2,708.56x = 16,363,036.27
  5. Step 5: Solve for x
    x = 16,363,036.27/2,708.56
  6. Step 6: Final answer
    x = 6,041.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.