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Finding the Third Proportional to 15,865.97 and 33,769.50

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Solution

The third proportional to 15,865.97 and 33,769.50 is: 71,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.97 : 33,769.50 = 33,769.50 : x
  2. Step 2: Convert to fraction form
    15,865.97/33,769.50 = 33,769.50/x
  3. Step 3: Cross multiply
    15,865.97x = 33,769.50 × 33,769.50
  4. Step 4: Simplify right side
    15,865.97x = 1,140,379,130.25
  5. Step 5: Solve for x
    x = 1,140,379,130.25/15,865.97
  6. Step 6: Final answer
    x = 71,875.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.