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Finding the Third Proportional to 34,930.50 and 71,481

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Solution

The third proportional to 34,930.50 and 71,481 is: 146,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,930.50 : 71,481 = 71,481 : x
  2. Step 2: Convert to fraction form
    34,930.50/71,481 = 71,481/x
  3. Step 3: Cross multiply
    34,930.50x = 71,481 × 71,481
  4. Step 4: Simplify right side
    34,930.50x = 5,109,533,361
  5. Step 5: Solve for x
    x = 5,109,533,361/34,930.50
  6. Step 6: Final answer
    x = 146,277.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.