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Finding the Third Proportional to 15,986 and 34,524

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Solution

The third proportional to 15,986 and 34,524 is: 74,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,986 : 34,524 = 34,524 : x
  2. Step 2: Convert to fraction form
    15,986/34,524 = 34,524/x
  3. Step 3: Cross multiply
    15,986x = 34,524 × 34,524
  4. Step 4: Simplify right side
    15,986x = 1,191,906,576
  5. Step 5: Solve for x
    x = 1,191,906,576/15,986
  6. Step 6: Final answer
    x = 74,559.40

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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.