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Finding the Third Proportional to 14,825.53 and 22,214.53

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Solution

The third proportional to 14,825.53 and 22,214.53 is: 33,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,825.53 : 22,214.53 = 22,214.53 : x
  2. Step 2: Convert to fraction form
    14,825.53/22,214.53 = 22,214.53/x
  3. Step 3: Cross multiply
    14,825.53x = 22,214.53 × 22,214.53
  4. Step 4: Simplify right side
    14,825.53x = 493,485,398.66
  5. Step 5: Solve for x
    x = 493,485,398.66/14,825.53
  6. Step 6: Final answer
    x = 33,286.19

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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.