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Finding the Third Proportional to 3,134.00 and 6,670.48

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Solution

The third proportional to 3,134.00 and 6,670.48 is: 14,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.00 : 6,670.48 = 6,670.48 : x
  2. Step 2: Convert to fraction form
    3,134.00/6,670.48 = 6,670.48/x
  3. Step 3: Cross multiply
    3,134.00x = 6,670.48 × 6,670.48
  4. Step 4: Simplify right side
    3,134.00x = 44,495,257.57
  5. Step 5: Solve for x
    x = 44,495,257.57/3,134.00
  6. Step 6: Final answer
    x = 14,197.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.