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Finding the Third Proportional to 33,219 and 48,549.50

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Solution

The third proportional to 33,219 and 48,549.50 is: 70,954.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,219 : 48,549.50 = 48,549.50 : x
  2. Step 2: Convert to fraction form
    33,219/48,549.50 = 48,549.50/x
  3. Step 3: Cross multiply
    33,219x = 48,549.50 × 48,549.50
  4. Step 4: Simplify right side
    33,219x = 2,357,053,950.25
  5. Step 5: Solve for x
    x = 2,357,053,950.25/33,219
  6. Step 6: Final answer
    x = 70,954.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.