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Finding the Third Proportional to 49,803.75 and 74,000.25

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Solution

The third proportional to 49,803.75 and 74,000.25 is: 109,952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,803.75 : 74,000.25 = 74,000.25 : x
  2. Step 2: Convert to fraction form
    49,803.75/74,000.25 = 74,000.25/x
  3. Step 3: Cross multiply
    49,803.75x = 74,000.25 × 74,000.25
  4. Step 4: Simplify right side
    49,803.75x = 5,476,037,000.06
  5. Step 5: Solve for x
    x = 5,476,037,000.06/49,803.75
  6. Step 6: Final answer
    x = 109,952.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.