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Finding the Third Proportional to 2,730.66 and 5,987.53

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Solution

The third proportional to 2,730.66 and 5,987.53 is: 13,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.66 : 5,987.53 = 5,987.53 : x
  2. Step 2: Convert to fraction form
    2,730.66/5,987.53 = 5,987.53/x
  3. Step 3: Cross multiply
    2,730.66x = 5,987.53 × 5,987.53
  4. Step 4: Simplify right side
    2,730.66x = 35,850,530.47
  5. Step 5: Solve for x
    x = 35,850,530.47/2,730.66
  6. Step 6: Final answer
    x = 13,128.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.