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Finding the Third Proportional to 36,298 and 49,262

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Solution

The third proportional to 36,298 and 49,262 is: 66,856.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,298 : 49,262 = 49,262 : x
  2. Step 2: Convert to fraction form
    36,298/49,262 = 49,262/x
  3. Step 3: Cross multiply
    36,298x = 49,262 × 49,262
  4. Step 4: Simplify right side
    36,298x = 2,426,744,644
  5. Step 5: Solve for x
    x = 2,426,744,644/36,298
  6. Step 6: Final answer
    x = 66,856.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.