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Finding the Third Proportional to 14,310.75 and 21,891.75

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Solution

The third proportional to 14,310.75 and 21,891.75 is: 33,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.75 : 21,891.75 = 21,891.75 : x
  2. Step 2: Convert to fraction form
    14,310.75/21,891.75 = 21,891.75/x
  3. Step 3: Cross multiply
    14,310.75x = 21,891.75 × 21,891.75
  4. Step 4: Simplify right side
    14,310.75x = 479,248,718.06
  5. Step 5: Solve for x
    x = 479,248,718.06/14,310.75
  6. Step 6: Final answer
    x = 33,488.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.