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Finding the Third Proportional to 43,610.50 and 69,169

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Solution

The third proportional to 43,610.50 and 69,169 is: 109,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,610.50 : 69,169 = 69,169 : x
  2. Step 2: Convert to fraction form
    43,610.50/69,169 = 69,169/x
  3. Step 3: Cross multiply
    43,610.50x = 69,169 × 69,169
  4. Step 4: Simplify right side
    43,610.50x = 4,784,350,561
  5. Step 5: Solve for x
    x = 4,784,350,561/43,610.50
  6. Step 6: Final answer
    x = 109,706.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.