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Finding the Third Proportional to 15,212 and 32,524

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Solution

The third proportional to 15,212 and 32,524 is: 69,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,212 : 32,524 = 32,524 : x
  2. Step 2: Convert to fraction form
    15,212/32,524 = 32,524/x
  3. Step 3: Cross multiply
    15,212x = 32,524 × 32,524
  4. Step 4: Simplify right side
    15,212x = 1,057,810,576
  5. Step 5: Solve for x
    x = 1,057,810,576/15,212
  6. Step 6: Final answer
    x = 69,537.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.