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Finding the Third Proportional to 2,414.81 and 4,128.19

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Solution

The third proportional to 2,414.81 and 4,128.19 is: 7,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.81 : 4,128.19 = 4,128.19 : x
  2. Step 2: Convert to fraction form
    2,414.81/4,128.19 = 4,128.19/x
  3. Step 3: Cross multiply
    2,414.81x = 4,128.19 × 4,128.19
  4. Step 4: Simplify right side
    2,414.81x = 17,041,932.04
  5. Step 5: Solve for x
    x = 17,041,932.04/2,414.81
  6. Step 6: Final answer
    x = 7,057.25

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.