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Finding the Third Proportional to 29,920 and 39,648

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Solution

The third proportional to 29,920 and 39,648 is: 52,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,920 : 39,648 = 39,648 : x
  2. Step 2: Convert to fraction form
    29,920/39,648 = 39,648/x
  3. Step 3: Cross multiply
    29,920x = 39,648 × 39,648
  4. Step 4: Simplify right side
    29,920x = 1,571,963,904
  5. Step 5: Solve for x
    x = 1,571,963,904/29,920
  6. Step 6: Final answer
    x = 52,538.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.