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Finding the Third Proportional to 33,237.84 and 71,145.84

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Solution

The third proportional to 33,237.84 and 71,145.84 is: 152,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,237.84 : 71,145.84 = 71,145.84 : x
  2. Step 2: Convert to fraction form
    33,237.84/71,145.84 = 71,145.84/x
  3. Step 3: Cross multiply
    33,237.84x = 71,145.84 × 71,145.84
  4. Step 4: Simplify right side
    33,237.84x = 5,061,731,082.90
  5. Step 5: Solve for x
    x = 5,061,731,082.90/33,237.84
  6. Step 6: Final answer
    x = 152,288.19

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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.