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Finding the Third Proportional to 22,747.08 and 32,913.21

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Solution

The third proportional to 22,747.08 and 32,913.21 is: 47,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,747.08 : 32,913.21 = 32,913.21 : x
  2. Step 2: Convert to fraction form
    22,747.08/32,913.21 = 32,913.21/x
  3. Step 3: Cross multiply
    22,747.08x = 32,913.21 × 32,913.21
  4. Step 4: Simplify right side
    22,747.08x = 1,083,279,454.22
  5. Step 5: Solve for x
    x = 1,083,279,454.22/22,747.08
  6. Step 6: Final answer
    x = 47,622.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.