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Finding the Third Proportional to 3,130.88 and 6,172.31

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Solution

The third proportional to 3,130.88 and 6,172.31 is: 12,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.88 : 6,172.31 = 6,172.31 : x
  2. Step 2: Convert to fraction form
    3,130.88/6,172.31 = 6,172.31/x
  3. Step 3: Cross multiply
    3,130.88x = 6,172.31 × 6,172.31
  4. Step 4: Simplify right side
    3,130.88x = 38,097,441.60
  5. Step 5: Solve for x
    x = 38,097,441.60/3,130.88
  6. Step 6: Final answer
    x = 12,168.30

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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.