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Finding the Third Proportional to 48,024 and 72,698

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Solution

The third proportional to 48,024 and 72,698 is: 110,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,024 : 72,698 = 72,698 : x
  2. Step 2: Convert to fraction form
    48,024/72,698 = 72,698/x
  3. Step 3: Cross multiply
    48,024x = 72,698 × 72,698
  4. Step 4: Simplify right side
    48,024x = 5,284,999,204
  5. Step 5: Solve for x
    x = 5,284,999,204/48,024
  6. Step 6: Final answer
    x = 110,049.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.