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Finding the Third Proportional to 15,072.75 and 32,824.13

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Solution

The third proportional to 15,072.75 and 32,824.13 is: 71,481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,072.75 : 32,824.13 = 32,824.13 : x
  2. Step 2: Convert to fraction form
    15,072.75/32,824.13 = 32,824.13/x
  3. Step 3: Cross multiply
    15,072.75x = 32,824.13 × 32,824.13
  4. Step 4: Simplify right side
    15,072.75x = 1,077,423,182.02
  5. Step 5: Solve for x
    x = 1,077,423,182.02/15,072.75
  6. Step 6: Final answer
    x = 71,481.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.