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Finding the Third Proportional to 34,691 and 81,865.50

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Solution

The third proportional to 34,691 and 81,865.50 is: 193,190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,691 : 81,865.50 = 81,865.50 : x
  2. Step 2: Convert to fraction form
    34,691/81,865.50 = 81,865.50/x
  3. Step 3: Cross multiply
    34,691x = 81,865.50 × 81,865.50
  4. Step 4: Simplify right side
    34,691x = 6,701,960,090.25
  5. Step 5: Solve for x
    x = 6,701,960,090.25/34,691
  6. Step 6: Final answer
    x = 193,190.17

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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.