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Finding the Third Proportional to 10,096.88 and 14,452.97

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Solution

The third proportional to 10,096.88 and 14,452.97 is: 20,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.88 : 14,452.97 = 14,452.97 : x
  2. Step 2: Convert to fraction form
    10,096.88/14,452.97 = 14,452.97/x
  3. Step 3: Cross multiply
    10,096.88x = 14,452.97 × 14,452.97
  4. Step 4: Simplify right side
    10,096.88x = 208,888,305.69
  5. Step 5: Solve for x
    x = 208,888,305.69/10,096.88
  6. Step 6: Final answer
    x = 20,688.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.