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Finding the Third Proportional to 10,230.47 and 22,283.44

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Solution

The third proportional to 10,230.47 and 22,283.44 is: 48,536.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.47 : 22,283.44 = 22,283.44 : x
  2. Step 2: Convert to fraction form
    10,230.47/22,283.44 = 22,283.44/x
  3. Step 3: Cross multiply
    10,230.47x = 22,283.44 × 22,283.44
  4. Step 4: Simplify right side
    10,230.47x = 496,551,586.82
  5. Step 5: Solve for x
    x = 496,551,586.82/10,230.47
  6. Step 6: Final answer
    x = 48,536.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.