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Finding the Third Proportional to 32,205.09 and 49,260.66

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Solution

The third proportional to 32,205.09 and 49,260.66 is: 75,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.09 : 49,260.66 = 49,260.66 : x
  2. Step 2: Convert to fraction form
    32,205.09/49,260.66 = 49,260.66/x
  3. Step 3: Cross multiply
    32,205.09x = 49,260.66 × 49,260.66
  4. Step 4: Simplify right side
    32,205.09x = 2,426,612,254.18
  5. Step 5: Solve for x
    x = 2,426,612,254.18/32,205.09
  6. Step 6: Final answer
    x = 75,348.71

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.