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Finding the Third Proportional to 22,023.56 and 34,109.44

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Solution

The third proportional to 22,023.56 and 34,109.44 is: 52,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,023.56 : 34,109.44 = 34,109.44 : x
  2. Step 2: Convert to fraction form
    22,023.56/34,109.44 = 34,109.44/x
  3. Step 3: Cross multiply
    22,023.56x = 34,109.44 × 34,109.44
  4. Step 4: Simplify right side
    22,023.56x = 1,163,453,726.57
  5. Step 5: Solve for x
    x = 1,163,453,726.57/22,023.56
  6. Step 6: Final answer
    x = 52,827.68

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Why These Related Problems?

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