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Finding the Third Proportional to 5,987.25 and 9,858.38

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Solution

The third proportional to 5,987.25 and 9,858.38 is: 16,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.25 : 9,858.38 = 9,858.38 : x
  2. Step 2: Convert to fraction form
    5,987.25/9,858.38 = 9,858.38/x
  3. Step 3: Cross multiply
    5,987.25x = 9,858.38 × 9,858.38
  4. Step 4: Simplify right side
    5,987.25x = 97,187,557.64
  5. Step 5: Solve for x
    x = 97,187,557.64/5,987.25
  6. Step 6: Final answer
    x = 16,232.42

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.