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Finding the Third Proportional to 32,544 and 49,440

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Solution

The third proportional to 32,544 and 49,440 is: 75,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,544 : 49,440 = 49,440 : x
  2. Step 2: Convert to fraction form
    32,544/49,440 = 49,440/x
  3. Step 3: Cross multiply
    32,544x = 49,440 × 49,440
  4. Step 4: Simplify right side
    32,544x = 2,444,313,600
  5. Step 5: Solve for x
    x = 2,444,313,600/32,544
  6. Step 6: Final answer
    x = 75,107.96

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Why These Related Problems?

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