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Finding the Third Proportional to 2,001.52 and 3,335.06

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Solution

The third proportional to 2,001.52 and 3,335.06 is: 5,557.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.52 : 3,335.06 = 3,335.06 : x
  2. Step 2: Convert to fraction form
    2,001.52/3,335.06 = 3,335.06/x
  3. Step 3: Cross multiply
    2,001.52x = 3,335.06 × 3,335.06
  4. Step 4: Simplify right side
    2,001.52x = 11,122,641.88
  5. Step 5: Solve for x
    x = 11,122,641.88/2,001.52
  6. Step 6: Final answer
    x = 5,557.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.