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Finding the Third Proportional to 34,816.50 and 62,721

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Solution

The third proportional to 34,816.50 and 62,721 is: 112,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,816.50 : 62,721 = 62,721 : x
  2. Step 2: Convert to fraction form
    34,816.50/62,721 = 62,721/x
  3. Step 3: Cross multiply
    34,816.50x = 62,721 × 62,721
  4. Step 4: Simplify right side
    34,816.50x = 3,933,923,841
  5. Step 5: Solve for x
    x = 3,933,923,841/34,816.50
  6. Step 6: Final answer
    x = 112,990.22

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.