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Finding the Third Proportional to 2,466.70 and 5,343.47

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Solution

The third proportional to 2,466.70 and 5,343.47 is: 11,575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.70 : 5,343.47 = 5,343.47 : x
  2. Step 2: Convert to fraction form
    2,466.70/5,343.47 = 5,343.47/x
  3. Step 3: Cross multiply
    2,466.70x = 5,343.47 × 5,343.47
  4. Step 4: Simplify right side
    2,466.70x = 28,552,658.28
  5. Step 5: Solve for x
    x = 28,552,658.28/2,466.70
  6. Step 6: Final answer
    x = 11,575.23

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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.