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Finding the Third Proportional to 31,223.60 and 47,612.81

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Solution

The third proportional to 31,223.60 and 47,612.81 is: 72,604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,223.60 : 47,612.81 = 47,612.81 : x
  2. Step 2: Convert to fraction form
    31,223.60/47,612.81 = 47,612.81/x
  3. Step 3: Cross multiply
    31,223.60x = 47,612.81 × 47,612.81
  4. Step 4: Simplify right side
    31,223.60x = 2,266,979,914.16
  5. Step 5: Solve for x
    x = 2,266,979,914.16/31,223.60
  6. Step 6: Final answer
    x = 72,604.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.