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Finding the Third Proportional to 10,221.75 and 15,629.63

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Solution

The third proportional to 10,221.75 and 15,629.63 is: 23,898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.75 : 15,629.63 = 15,629.63 : x
  2. Step 2: Convert to fraction form
    10,221.75/15,629.63 = 15,629.63/x
  3. Step 3: Cross multiply
    10,221.75x = 15,629.63 × 15,629.63
  4. Step 4: Simplify right side
    10,221.75x = 244,285,177.64
  5. Step 5: Solve for x
    x = 244,285,177.64/10,221.75
  6. Step 6: Final answer
    x = 23,898.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.