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Finding the Third Proportional to 12,958 and 27,986

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Solution

The third proportional to 12,958 and 27,986 is: 60,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,958 : 27,986 = 27,986 : x
  2. Step 2: Convert to fraction form
    12,958/27,986 = 27,986/x
  3. Step 3: Cross multiply
    12,958x = 27,986 × 27,986
  4. Step 4: Simplify right side
    12,958x = 783,216,196
  5. Step 5: Solve for x
    x = 783,216,196/12,958
  6. Step 6: Final answer
    x = 60,442.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.