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Finding the Third Proportional to 48,386 and 73,983

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Solution

The third proportional to 48,386 and 73,983 is: 113,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,386 : 73,983 = 73,983 : x
  2. Step 2: Convert to fraction form
    48,386/73,983 = 73,983/x
  3. Step 3: Cross multiply
    48,386x = 73,983 × 73,983
  4. Step 4: Simplify right side
    48,386x = 5,473,484,289
  5. Step 5: Solve for x
    x = 5,473,484,289/48,386
  6. Step 6: Final answer
    x = 113,121.24

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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.