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Finding the Third Proportional to 3,137.53 and 6,761.06

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Solution

The third proportional to 3,137.53 and 6,761.06 is: 14,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.53 : 6,761.06 = 6,761.06 : x
  2. Step 2: Convert to fraction form
    3,137.53/6,761.06 = 6,761.06/x
  3. Step 3: Cross multiply
    3,137.53x = 6,761.06 × 6,761.06
  4. Step 4: Simplify right side
    3,137.53x = 45,711,966.13
  5. Step 5: Solve for x
    x = 45,711,966.13/3,137.53
  6. Step 6: Final answer
    x = 14,569.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.