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Finding the Third Proportional to 22,821.12 and 36,458.54

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Solution

The third proportional to 22,821.12 and 36,458.54 is: 58,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,821.12 : 36,458.54 = 36,458.54 : x
  2. Step 2: Convert to fraction form
    22,821.12/36,458.54 = 36,458.54/x
  3. Step 3: Cross multiply
    22,821.12x = 36,458.54 × 36,458.54
  4. Step 4: Simplify right side
    22,821.12x = 1,329,225,355.40
  5. Step 5: Solve for x
    x = 1,329,225,355.40/22,821.12
  6. Step 6: Final answer
    x = 58,245.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.