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Finding the Third Proportional to 15,275 and 33,124

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Solution

The third proportional to 15,275 and 33,124 is: 71,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,275 : 33,124 = 33,124 : x
  2. Step 2: Convert to fraction form
    15,275/33,124 = 33,124/x
  3. Step 3: Cross multiply
    15,275x = 33,124 × 33,124
  4. Step 4: Simplify right side
    15,275x = 1,097,199,376
  5. Step 5: Solve for x
    x = 1,097,199,376/15,275
  6. Step 6: Final answer
    x = 71,829.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.