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Finding the Third Proportional to 32,373.84 and 49,235.77

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Solution

The third proportional to 32,373.84 and 49,235.77 is: 74,880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,373.84 : 49,235.77 = 49,235.77 : x
  2. Step 2: Convert to fraction form
    32,373.84/49,235.77 = 49,235.77/x
  3. Step 3: Cross multiply
    32,373.84x = 49,235.77 × 49,235.77
  4. Step 4: Simplify right side
    32,373.84x = 2,424,160,616.68
  5. Step 5: Solve for x
    x = 2,424,160,616.68/32,373.84
  6. Step 6: Final answer
    x = 74,880.22

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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.