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Finding the Third Proportional to 34,713 and 81,888.75

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Solution

The third proportional to 34,713 and 81,888.75 is: 193,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,713 : 81,888.75 = 81,888.75 : x
  2. Step 2: Convert to fraction form
    34,713/81,888.75 = 81,888.75/x
  3. Step 3: Cross multiply
    34,713x = 81,888.75 × 81,888.75
  4. Step 4: Simplify right side
    34,713x = 6,705,767,376.56
  5. Step 5: Solve for x
    x = 6,705,767,376.56/34,713
  6. Step 6: Final answer
    x = 193,177.41

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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.