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Finding the Third Proportional to 49,816.50 and 74,019

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Solution

The third proportional to 49,816.50 and 74,019 is: 109,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,816.50 : 74,019 = 74,019 : x
  2. Step 2: Convert to fraction form
    49,816.50/74,019 = 74,019/x
  3. Step 3: Cross multiply
    49,816.50x = 74,019 × 74,019
  4. Step 4: Simplify right side
    49,816.50x = 5,478,812,361
  5. Step 5: Solve for x
    x = 5,478,812,361/49,816.50
  6. Step 6: Final answer
    x = 109,979.87

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Why These Related Problems?

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