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Finding the Third Proportional to 15,865.89 and 33,769.29

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Solution

The third proportional to 15,865.89 and 33,769.29 is: 71,875.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.89 : 33,769.29 = 33,769.29 : x
  2. Step 2: Convert to fraction form
    15,865.89/33,769.29 = 33,769.29/x
  3. Step 3: Cross multiply
    15,865.89x = 33,769.29 × 33,769.29
  4. Step 4: Simplify right side
    15,865.89x = 1,140,364,784.85
  5. Step 5: Solve for x
    x = 1,140,364,784.85/15,865.89
  6. Step 6: Final answer
    x = 71,875.23

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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.