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Finding the Third Proportional to 29,806.50 and 62,061

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Solution

The third proportional to 29,806.50 and 62,061 is: 129,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,806.50 : 62,061 = 62,061 : x
  2. Step 2: Convert to fraction form
    29,806.50/62,061 = 62,061/x
  3. Step 3: Cross multiply
    29,806.50x = 62,061 × 62,061
  4. Step 4: Simplify right side
    29,806.50x = 3,851,567,721
  5. Step 5: Solve for x
    x = 3,851,567,721/29,806.50
  6. Step 6: Final answer
    x = 129,219.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.