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Finding the Third Proportional to 14,244.75 and 34,922.25

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Solution

The third proportional to 14,244.75 and 34,922.25 is: 85,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,244.75 : 34,922.25 = 34,922.25 : x
  2. Step 2: Convert to fraction form
    14,244.75/34,922.25 = 34,922.25/x
  3. Step 3: Cross multiply
    14,244.75x = 34,922.25 × 34,922.25
  4. Step 4: Simplify right side
    14,244.75x = 1,219,563,545.06
  5. Step 5: Solve for x
    x = 1,219,563,545.06/14,244.75
  6. Step 6: Final answer
    x = 85,614.95

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.