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Finding the Third Proportional to 22,352.20 and 46,522.69

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Solution

The third proportional to 22,352.20 and 46,522.69 is: 96,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,352.20 : 46,522.69 = 46,522.69 : x
  2. Step 2: Convert to fraction form
    22,352.20/46,522.69 = 46,522.69/x
  3. Step 3: Cross multiply
    22,352.20x = 46,522.69 × 46,522.69
  4. Step 4: Simplify right side
    22,352.20x = 2,164,360,452.22
  5. Step 5: Solve for x
    x = 2,164,360,452.22/22,352.20
  6. Step 6: Final answer
    x = 96,829.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.