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Finding the Third Proportional to 48,082 and 74,642

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Solution

The third proportional to 48,082 and 74,642 is: 115,873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,082 : 74,642 = 74,642 : x
  2. Step 2: Convert to fraction form
    48,082/74,642 = 74,642/x
  3. Step 3: Cross multiply
    48,082x = 74,642 × 74,642
  4. Step 4: Simplify right side
    48,082x = 5,571,428,164
  5. Step 5: Solve for x
    x = 5,571,428,164/48,082
  6. Step 6: Final answer
    x = 115,873.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.