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Finding the Third Proportional to 48,396 and 74,022

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Solution

The third proportional to 48,396 and 74,022 is: 113,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,396 : 74,022 = 74,022 : x
  2. Step 2: Convert to fraction form
    48,396/74,022 = 74,022/x
  3. Step 3: Cross multiply
    48,396x = 74,022 × 74,022
  4. Step 4: Simplify right side
    48,396x = 5,479,256,484
  5. Step 5: Solve for x
    x = 5,479,256,484/48,396
  6. Step 6: Final answer
    x = 113,217.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.