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Finding the Third Proportional to 48,047 and 110,593.25

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Solution

The third proportional to 48,047 and 110,593.25 is: 254,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,047 : 110,593.25 = 110,593.25 : x
  2. Step 2: Convert to fraction form
    48,047/110,593.25 = 110,593.25/x
  3. Step 3: Cross multiply
    48,047x = 110,593.25 × 110,593.25
  4. Step 4: Simplify right side
    48,047x = 12,230,866,945.56
  5. Step 5: Solve for x
    x = 12,230,866,945.56/48,047
  6. Step 6: Final answer
    x = 254,560.47

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.