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Finding the Third Proportional to 26,880 and 38,304

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Solution

The third proportional to 26,880 and 38,304 is: 54,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,880 : 38,304 = 38,304 : x
  2. Step 2: Convert to fraction form
    26,880/38,304 = 38,304/x
  3. Step 3: Cross multiply
    26,880x = 38,304 × 38,304
  4. Step 4: Simplify right side
    26,880x = 1,467,196,416
  5. Step 5: Solve for x
    x = 1,467,196,416/26,880
  6. Step 6: Final answer
    x = 54,583.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.