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Finding the Third Proportional to 31,079.11 and 47,798.44

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Solution

The third proportional to 31,079.11 and 47,798.44 is: 73,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,079.11 : 47,798.44 = 47,798.44 : x
  2. Step 2: Convert to fraction form
    31,079.11/47,798.44 = 47,798.44/x
  3. Step 3: Cross multiply
    31,079.11x = 47,798.44 × 47,798.44
  4. Step 4: Simplify right side
    31,079.11x = 2,284,690,627.44
  5. Step 5: Solve for x
    x = 2,284,690,627.44/31,079.11
  6. Step 6: Final answer
    x = 73,512.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.