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Finding the Third Proportional to 17,784 and 28,344

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Solution

The third proportional to 17,784 and 28,344 is: 45,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784 : 28,344 = 28,344 : x
  2. Step 2: Convert to fraction form
    17,784/28,344 = 28,344/x
  3. Step 3: Cross multiply
    17,784x = 28,344 × 28,344
  4. Step 4: Simplify right side
    17,784x = 803,382,336
  5. Step 5: Solve for x
    x = 803,382,336/17,784
  6. Step 6: Final answer
    x = 45,174.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.