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Finding the Third Proportional to 35,577 and 82,364

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Solution

The third proportional to 35,577 and 82,364 is: 190,680.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,577 : 82,364 = 82,364 : x
  2. Step 2: Convert to fraction form
    35,577/82,364 = 82,364/x
  3. Step 3: Cross multiply
    35,577x = 82,364 × 82,364
  4. Step 4: Simplify right side
    35,577x = 6,783,828,496
  5. Step 5: Solve for x
    x = 6,783,828,496/35,577
  6. Step 6: Final answer
    x = 190,680.17

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.