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Finding the Third Proportional to 31,190.06 and 47,941.88

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Solution

The third proportional to 31,190.06 and 47,941.88 is: 73,690.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,190.06 : 47,941.88 = 47,941.88 : x
  2. Step 2: Convert to fraction form
    31,190.06/47,941.88 = 47,941.88/x
  3. Step 3: Cross multiply
    31,190.06x = 47,941.88 × 47,941.88
  4. Step 4: Simplify right side
    31,190.06x = 2,298,423,378.52
  5. Step 5: Solve for x
    x = 2,298,423,378.52/31,190.06
  6. Step 6: Final answer
    x = 73,690.89

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