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Finding the Third Proportional to 5,230 and 5,986

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Solution

The third proportional to 5,230 and 5,986 is: 6,851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230 : 5,986 = 5,986 : x
  2. Step 2: Convert to fraction form
    5,230/5,986 = 5,986/x
  3. Step 3: Cross multiply
    5,230x = 5,986 × 5,986
  4. Step 4: Simplify right side
    5,230x = 35,832,196
  5. Step 5: Solve for x
    x = 35,832,196/5,230
  6. Step 6: Final answer
    x = 6,851.28

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.