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Finding the Third Proportional to 7,131.38 and 14,070.38

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Solution

The third proportional to 7,131.38 and 14,070.38 is: 27,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.38 : 14,070.38 = 14,070.38 : x
  2. Step 2: Convert to fraction form
    7,131.38/14,070.38 = 14,070.38/x
  3. Step 3: Cross multiply
    7,131.38x = 14,070.38 × 14,070.38
  4. Step 4: Simplify right side
    7,131.38x = 197,975,452.64
  5. Step 5: Solve for x
    x = 197,975,452.64/7,131.38
  6. Step 6: Final answer
    x = 27,761.19

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.