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Finding the Third Proportional to 48,360 and 73,982

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Solution

The third proportional to 48,360 and 73,982 is: 113,179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,360 : 73,982 = 73,982 : x
  2. Step 2: Convert to fraction form
    48,360/73,982 = 73,982/x
  3. Step 3: Cross multiply
    48,360x = 73,982 × 73,982
  4. Step 4: Simplify right side
    48,360x = 5,473,336,324
  5. Step 5: Solve for x
    x = 5,473,336,324/48,360
  6. Step 6: Final answer
    x = 113,179.00

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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.