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Finding the Third Proportional to 22,365.49 and 24,074.09

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Solution

The third proportional to 22,365.49 and 24,074.09 is: 25,913.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,365.49 : 24,074.09 = 24,074.09 : x
  2. Step 2: Convert to fraction form
    22,365.49/24,074.09 = 24,074.09/x
  3. Step 3: Cross multiply
    22,365.49x = 24,074.09 × 24,074.09
  4. Step 4: Simplify right side
    22,365.49x = 579,561,613.73
  5. Step 5: Solve for x
    x = 579,561,613.73/22,365.49
  6. Step 6: Final answer
    x = 25,913.21

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.