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Finding the Third Proportional to 33,237 and 48,883.50

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Solution

The third proportional to 33,237 and 48,883.50 is: 71,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,237 : 48,883.50 = 48,883.50 : x
  2. Step 2: Convert to fraction form
    33,237/48,883.50 = 48,883.50/x
  3. Step 3: Cross multiply
    33,237x = 48,883.50 × 48,883.50
  4. Step 4: Simplify right side
    33,237x = 2,389,596,572.25
  5. Step 5: Solve for x
    x = 2,389,596,572.25/33,237
  6. Step 6: Final answer
    x = 71,895.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.