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Finding the Third Proportional to 14,226.89 and 22,086.42

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Solution

The third proportional to 14,226.89 and 22,086.42 is: 34,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.89 : 22,086.42 = 22,086.42 : x
  2. Step 2: Convert to fraction form
    14,226.89/22,086.42 = 22,086.42/x
  3. Step 3: Cross multiply
    14,226.89x = 22,086.42 × 22,086.42
  4. Step 4: Simplify right side
    14,226.89x = 487,810,031.24
  5. Step 5: Solve for x
    x = 487,810,031.24/14,226.89
  6. Step 6: Final answer
    x = 34,287.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.