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Finding the Third Proportional to 18,865 and 28,344

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Solution

The third proportional to 18,865 and 28,344 is: 42,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,865 : 28,344 = 28,344 : x
  2. Step 2: Convert to fraction form
    18,865/28,344 = 28,344/x
  3. Step 3: Cross multiply
    18,865x = 28,344 × 28,344
  4. Step 4: Simplify right side
    18,865x = 803,382,336
  5. Step 5: Solve for x
    x = 803,382,336/18,865
  6. Step 6: Final answer
    x = 42,585.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.