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Finding the Third Proportional to 15,462 and 33,312

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Solution

The third proportional to 15,462 and 33,312 is: 71,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,462 : 33,312 = 33,312 : x
  2. Step 2: Convert to fraction form
    15,462/33,312 = 33,312/x
  3. Step 3: Cross multiply
    15,462x = 33,312 × 33,312
  4. Step 4: Simplify right side
    15,462x = 1,109,689,344
  5. Step 5: Solve for x
    x = 1,109,689,344/15,462
  6. Step 6: Final answer
    x = 71,768.81

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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.