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Finding the Third Proportional to 35,496 and 76,226

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Solution

The third proportional to 35,496 and 76,226 is: 163,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,496 : 76,226 = 76,226 : x
  2. Step 2: Convert to fraction form
    35,496/76,226 = 76,226/x
  3. Step 3: Cross multiply
    35,496x = 76,226 × 76,226
  4. Step 4: Simplify right side
    35,496x = 5,810,403,076
  5. Step 5: Solve for x
    x = 5,810,403,076/35,496
  6. Step 6: Final answer
    x = 163,691.77

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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.