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Finding the Third Proportional to 18,967 and 28,514

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Solution

The third proportional to 18,967 and 28,514 is: 42,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,967 : 28,514 = 28,514 : x
  2. Step 2: Convert to fraction form
    18,967/28,514 = 28,514/x
  3. Step 3: Cross multiply
    18,967x = 28,514 × 28,514
  4. Step 4: Simplify right side
    18,967x = 813,048,196
  5. Step 5: Solve for x
    x = 813,048,196/18,967
  6. Step 6: Final answer
    x = 42,866.46

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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.