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Finding the Third Proportional to 31,472.30 and 48,733.37

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Solution

The third proportional to 31,472.30 and 48,733.37 is: 75,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.30 : 48,733.37 = 48,733.37 : x
  2. Step 2: Convert to fraction form
    31,472.30/48,733.37 = 48,733.37/x
  3. Step 3: Cross multiply
    31,472.30x = 48,733.37 × 48,733.37
  4. Step 4: Simplify right side
    31,472.30x = 2,374,940,887.07
  5. Step 5: Solve for x
    x = 2,374,940,887.07/31,472.30
  6. Step 6: Final answer
    x = 75,461.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.