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Finding the Third Proportional to 12,022.50 and 17,934

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Solution

The third proportional to 12,022.50 and 17,934 is: 26,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.50 : 17,934 = 17,934 : x
  2. Step 2: Convert to fraction form
    12,022.50/17,934 = 17,934/x
  3. Step 3: Cross multiply
    12,022.50x = 17,934 × 17,934
  4. Step 4: Simplify right side
    12,022.50x = 321,628,356
  5. Step 5: Solve for x
    x = 321,628,356/12,022.50
  6. Step 6: Final answer
    x = 26,752.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.