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Finding the Third Proportional to 1,513.97 and 3,259.55

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Solution

The third proportional to 1,513.97 and 3,259.55 is: 7,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.97 : 3,259.55 = 3,259.55 : x
  2. Step 2: Convert to fraction form
    1,513.97/3,259.55 = 3,259.55/x
  3. Step 3: Cross multiply
    1,513.97x = 3,259.55 × 3,259.55
  4. Step 4: Simplify right side
    1,513.97x = 10,624,645.83
  5. Step 5: Solve for x
    x = 10,624,645.83/1,513.97
  6. Step 6: Final answer
    x = 7,017.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.