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Finding the Third Proportional to 15,120 and 32,512

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Solution

The third proportional to 15,120 and 32,512 is: 69,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120 : 32,512 = 32,512 : x
  2. Step 2: Convert to fraction form
    15,120/32,512 = 32,512/x
  3. Step 3: Cross multiply
    15,120x = 32,512 × 32,512
  4. Step 4: Simplify right side
    15,120x = 1,057,030,144
  5. Step 5: Solve for x
    x = 1,057,030,144/15,120
  6. Step 6: Final answer
    x = 69,909.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.