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Finding the Third Proportional to 31,194.56 and 47,949.19

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Solution

The third proportional to 31,194.56 and 47,949.19 is: 73,702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194.56 : 47,949.19 = 47,949.19 : x
  2. Step 2: Convert to fraction form
    31,194.56/47,949.19 = 47,949.19/x
  3. Step 3: Cross multiply
    31,194.56x = 47,949.19 × 47,949.19
  4. Step 4: Simplify right side
    31,194.56x = 2,299,124,581.91
  5. Step 5: Solve for x
    x = 2,299,124,581.91/31,194.56
  6. Step 6: Final answer
    x = 73,702.74

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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.