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Finding the Third Proportional to 47,901 and 72,519.75

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Solution

The third proportional to 47,901 and 72,519.75 is: 109,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,901 : 72,519.75 = 72,519.75 : x
  2. Step 2: Convert to fraction form
    47,901/72,519.75 = 72,519.75/x
  3. Step 3: Cross multiply
    47,901x = 72,519.75 × 72,519.75
  4. Step 4: Simplify right side
    47,901x = 5,259,114,140.06
  5. Step 5: Solve for x
    x = 5,259,114,140.06/47,901
  6. Step 6: Final answer
    x = 109,791.32

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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.