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Finding the Third Proportional to 15,097.63 and 22,202.44

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Solution

The third proportional to 15,097.63 and 22,202.44 is: 32,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.63 : 22,202.44 = 22,202.44 : x
  2. Step 2: Convert to fraction form
    15,097.63/22,202.44 = 22,202.44/x
  3. Step 3: Cross multiply
    15,097.63x = 22,202.44 × 22,202.44
  4. Step 4: Simplify right side
    15,097.63x = 492,948,230.94
  5. Step 5: Solve for x
    x = 492,948,230.94/15,097.63
  6. Step 6: Final answer
    x = 32,650.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.