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Finding the Third Proportional to 14,802.75 and 22,578.75

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Solution

The third proportional to 14,802.75 and 22,578.75 is: 34,439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802.75 : 22,578.75 = 22,578.75 : x
  2. Step 2: Convert to fraction form
    14,802.75/22,578.75 = 22,578.75/x
  3. Step 3: Cross multiply
    14,802.75x = 22,578.75 × 22,578.75
  4. Step 4: Simplify right side
    14,802.75x = 509,799,951.56
  5. Step 5: Solve for x
    x = 509,799,951.56/14,802.75
  6. Step 6: Final answer
    x = 34,439.54

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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.