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Finding the Third Proportional to 13,728 and 32,472

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Solution

The third proportional to 13,728 and 32,472 is: 76,808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728 : 32,472 = 32,472 : x
  2. Step 2: Convert to fraction form
    13,728/32,472 = 32,472/x
  3. Step 3: Cross multiply
    13,728x = 32,472 × 32,472
  4. Step 4: Simplify right side
    13,728x = 1,054,430,784
  5. Step 5: Solve for x
    x = 1,054,430,784/13,728
  6. Step 6: Final answer
    x = 76,808.77

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.