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Finding the Third Proportional to 34,269.75 and 51,769.13

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Solution

The third proportional to 34,269.75 and 51,769.13 is: 78,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,269.75 : 51,769.13 = 51,769.13 : x
  2. Step 2: Convert to fraction form
    34,269.75/51,769.13 = 51,769.13/x
  3. Step 3: Cross multiply
    34,269.75x = 51,769.13 × 51,769.13
  4. Step 4: Simplify right side
    34,269.75x = 2,680,042,303.27
  5. Step 5: Solve for x
    x = 2,680,042,303.27/34,269.75
  6. Step 6: Final answer
    x = 78,204.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.