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Finding the Third Proportional to 32,448 and 48,672

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Solution

The third proportional to 32,448 and 48,672 is: 73,008

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,448 : 48,672 = 48,672 : x
  2. Step 2: Convert to fraction form
    32,448/48,672 = 48,672/x
  3. Step 3: Cross multiply
    32,448x = 48,672 × 48,672
  4. Step 4: Simplify right side
    32,448x = 2,368,963,584
  5. Step 5: Solve for x
    x = 2,368,963,584/32,448
  6. Step 6: Final answer
    x = 73,008

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.