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Finding the Third Proportional to 34,682 and 53,320

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Solution

The third proportional to 34,682 and 53,320 is: 81,974.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,682 : 53,320 = 53,320 : x
  2. Step 2: Convert to fraction form
    34,682/53,320 = 53,320/x
  3. Step 3: Cross multiply
    34,682x = 53,320 × 53,320
  4. Step 4: Simplify right side
    34,682x = 2,843,022,400
  5. Step 5: Solve for x
    x = 2,843,022,400/34,682
  6. Step 6: Final answer
    x = 81,974.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.