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Finding the Third Proportional to 22,784 and 25,376

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Solution

The third proportional to 22,784 and 25,376 is: 28,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784 : 25,376 = 25,376 : x
  2. Step 2: Convert to fraction form
    22,784/25,376 = 25,376/x
  3. Step 3: Cross multiply
    22,784x = 25,376 × 25,376
  4. Step 4: Simplify right side
    22,784x = 643,941,376
  5. Step 5: Solve for x
    x = 643,941,376/22,784
  6. Step 6: Final answer
    x = 28,262.88

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.