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Finding the Third Proportional to 48,982.75 and 73,284.25

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Solution

The third proportional to 48,982.75 and 73,284.25 is: 109,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,982.75 : 73,284.25 = 73,284.25 : x
  2. Step 2: Convert to fraction form
    48,982.75/73,284.25 = 73,284.25/x
  3. Step 3: Cross multiply
    48,982.75x = 73,284.25 × 73,284.25
  4. Step 4: Simplify right side
    48,982.75x = 5,370,581,298.06
  5. Step 5: Solve for x
    x = 5,370,581,298.06/48,982.75
  6. Step 6: Final answer
    x = 109,642.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.