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Finding the Third Proportional to 6,502.78 and 10,202.20

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Solution

The third proportional to 6,502.78 and 10,202.20 is: 16,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.78 : 10,202.20 = 10,202.20 : x
  2. Step 2: Convert to fraction form
    6,502.78/10,202.20 = 10,202.20/x
  3. Step 3: Cross multiply
    6,502.78x = 10,202.20 × 10,202.20
  4. Step 4: Simplify right side
    6,502.78x = 104,084,948.60
  5. Step 5: Solve for x
    x = 104,084,948.60/6,502.78
  6. Step 6: Final answer
    x = 16,006.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.