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Finding the Third Proportional to 2,017.13 and 2,959.31

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Solution

The third proportional to 2,017.13 and 2,959.31 is: 4,341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.13 : 2,959.31 = 2,959.31 : x
  2. Step 2: Convert to fraction form
    2,017.13/2,959.31 = 2,959.31/x
  3. Step 3: Cross multiply
    2,017.13x = 2,959.31 × 2,959.31
  4. Step 4: Simplify right side
    2,017.13x = 8,757,530.47
  5. Step 5: Solve for x
    x = 8,757,530.47/2,017.13
  6. Step 6: Final answer
    x = 4,341.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.