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Finding the Third Proportional to 35,588 and 82,376

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Solution

The third proportional to 35,588 and 82,376 is: 190,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,588 : 82,376 = 82,376 : x
  2. Step 2: Convert to fraction form
    35,588/82,376 = 82,376/x
  3. Step 3: Cross multiply
    35,588x = 82,376 × 82,376
  4. Step 4: Simplify right side
    35,588x = 6,785,805,376
  5. Step 5: Solve for x
    x = 6,785,805,376/35,588
  6. Step 6: Final answer
    x = 190,676.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.