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Finding the Third Proportional to 33,898.50 and 72,444.38

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Solution

The third proportional to 33,898.50 and 72,444.38 is: 154,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,898.50 : 72,444.38 = 72,444.38 : x
  2. Step 2: Convert to fraction form
    33,898.50/72,444.38 = 72,444.38/x
  3. Step 3: Cross multiply
    33,898.50x = 72,444.38 × 72,444.38
  4. Step 4: Simplify right side
    33,898.50x = 5,248,187,469.14
  5. Step 5: Solve for x
    x = 5,248,187,469.14/33,898.50
  6. Step 6: Final answer
    x = 154,820.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.