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Finding the Third Proportional to 2,574.28 and 5,259.62

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Solution

The third proportional to 2,574.28 and 5,259.62 is: 10,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.28 : 5,259.62 = 5,259.62 : x
  2. Step 2: Convert to fraction form
    2,574.28/5,259.62 = 5,259.62/x
  3. Step 3: Cross multiply
    2,574.28x = 5,259.62 × 5,259.62
  4. Step 4: Simplify right side
    2,574.28x = 27,663,614.05
  5. Step 5: Solve for x
    x = 27,663,614.05/2,574.28
  6. Step 6: Final answer
    x = 10,746.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.