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Finding the Third Proportional to 33,237 and 71,691.50

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Solution

The third proportional to 33,237 and 71,691.50 is: 154,637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,237 : 71,691.50 = 71,691.50 : x
  2. Step 2: Convert to fraction form
    33,237/71,691.50 = 71,691.50/x
  3. Step 3: Cross multiply
    33,237x = 71,691.50 × 71,691.50
  4. Step 4: Simplify right side
    33,237x = 5,139,671,172.25
  5. Step 5: Solve for x
    x = 5,139,671,172.25/33,237
  6. Step 6: Final answer
    x = 154,637.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.