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Finding the Third Proportional to 30,761.06 and 47,502.56

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Solution

The third proportional to 30,761.06 and 47,502.56 is: 73,355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,761.06 : 47,502.56 = 47,502.56 : x
  2. Step 2: Convert to fraction form
    30,761.06/47,502.56 = 47,502.56/x
  3. Step 3: Cross multiply
    30,761.06x = 47,502.56 × 47,502.56
  4. Step 4: Simplify right side
    30,761.06x = 2,256,493,444.07
  5. Step 5: Solve for x
    x = 2,256,493,444.07/30,761.06
  6. Step 6: Final answer
    x = 73,355.51

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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.