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Finding the Third Proportional to 15,260 and 32,161

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Solution

The third proportional to 15,260 and 32,161 is: 67,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,260 : 32,161 = 32,161 : x
  2. Step 2: Convert to fraction form
    15,260/32,161 = 32,161/x
  3. Step 3: Cross multiply
    15,260x = 32,161 × 32,161
  4. Step 4: Simplify right side
    15,260x = 1,034,329,921
  5. Step 5: Solve for x
    x = 1,034,329,921/15,260
  6. Step 6: Final answer
    x = 67,780.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.