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Finding the Third Proportional to 3,014.24 and 6,531.57

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Solution

The third proportional to 3,014.24 and 6,531.57 is: 14,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.24 : 6,531.57 = 6,531.57 : x
  2. Step 2: Convert to fraction form
    3,014.24/6,531.57 = 6,531.57/x
  3. Step 3: Cross multiply
    3,014.24x = 6,531.57 × 6,531.57
  4. Step 4: Simplify right side
    3,014.24x = 42,661,461.78
  5. Step 5: Solve for x
    x = 42,661,461.78/3,014.24
  6. Step 6: Final answer
    x = 14,153.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.