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Finding the Third Proportional to 48,386 and 73,966

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Solution

The third proportional to 48,386 and 73,966 is: 113,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,386 : 73,966 = 73,966 : x
  2. Step 2: Convert to fraction form
    48,386/73,966 = 73,966/x
  3. Step 3: Cross multiply
    48,386x = 73,966 × 73,966
  4. Step 4: Simplify right side
    48,386x = 5,470,969,156
  5. Step 5: Solve for x
    x = 5,470,969,156/48,386
  6. Step 6: Final answer
    x = 113,069.26

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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.