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Finding the Third Proportional to 14,335.44 and 22,142.38

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Solution

The third proportional to 14,335.44 and 22,142.38 is: 34,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,335.44 : 22,142.38 = 22,142.38 : x
  2. Step 2: Convert to fraction form
    14,335.44/22,142.38 = 22,142.38/x
  3. Step 3: Cross multiply
    14,335.44x = 22,142.38 × 22,142.38
  4. Step 4: Simplify right side
    14,335.44x = 490,284,770.64
  5. Step 5: Solve for x
    x = 490,284,770.64/14,335.44
  6. Step 6: Final answer
    x = 34,200.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.