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Finding the Third Proportional to 28,024 and 40,304

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Solution

The third proportional to 28,024 and 40,304 is: 57,965.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,024 : 40,304 = 40,304 : x
  2. Step 2: Convert to fraction form
    28,024/40,304 = 40,304/x
  3. Step 3: Cross multiply
    28,024x = 40,304 × 40,304
  4. Step 4: Simplify right side
    28,024x = 1,624,412,416
  5. Step 5: Solve for x
    x = 1,624,412,416/28,024
  6. Step 6: Final answer
    x = 57,965.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.