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Finding the Third Proportional to 35,882 and 49,257

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Solution

The third proportional to 35,882 and 49,257 is: 67,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882 : 49,257 = 49,257 : x
  2. Step 2: Convert to fraction form
    35,882/49,257 = 49,257/x
  3. Step 3: Cross multiply
    35,882x = 49,257 × 49,257
  4. Step 4: Simplify right side
    35,882x = 2,426,252,049
  5. Step 5: Solve for x
    x = 2,426,252,049/35,882
  6. Step 6: Final answer
    x = 67,617.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.