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Finding the Third Proportional to 35,125 and 82,913

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Solution

The third proportional to 35,125 and 82,913 is: 195,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,125 : 82,913 = 82,913 : x
  2. Step 2: Convert to fraction form
    35,125/82,913 = 82,913/x
  3. Step 3: Cross multiply
    35,125x = 82,913 × 82,913
  4. Step 4: Simplify right side
    35,125x = 6,874,565,569
  5. Step 5: Solve for x
    x = 6,874,565,569/35,125
  6. Step 6: Final answer
    x = 195,717.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.