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Finding the Third Proportional to 14,523.05 and 22,365.49

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Solution

The third proportional to 14,523.05 and 22,365.49 is: 34,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.05 : 22,365.49 = 22,365.49 : x
  2. Step 2: Convert to fraction form
    14,523.05/22,365.49 = 22,365.49/x
  3. Step 3: Cross multiply
    14,523.05x = 22,365.49 × 22,365.49
  4. Step 4: Simplify right side
    14,523.05x = 500,215,240.79
  5. Step 5: Solve for x
    x = 500,215,240.79/14,523.05
  6. Step 6: Final answer
    x = 34,442.86

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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.