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Finding the Third Proportional to 4,687.03 and 10,193.34

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Solution

The third proportional to 4,687.03 and 10,193.34 is: 22,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.03 : 10,193.34 = 10,193.34 : x
  2. Step 2: Convert to fraction form
    4,687.03/10,193.34 = 10,193.34/x
  3. Step 3: Cross multiply
    4,687.03x = 10,193.34 × 10,193.34
  4. Step 4: Simplify right side
    4,687.03x = 103,904,256.81
  5. Step 5: Solve for x
    x = 103,904,256.81/4,687.03
  6. Step 6: Final answer
    x = 22,168.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.