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Finding the Third Proportional to 2,941.71 and 6,466.47

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Solution

The third proportional to 2,941.71 and 6,466.47 is: 14,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.71 : 6,466.47 = 6,466.47 : x
  2. Step 2: Convert to fraction form
    2,941.71/6,466.47 = 6,466.47/x
  3. Step 3: Cross multiply
    2,941.71x = 6,466.47 × 6,466.47
  4. Step 4: Simplify right side
    2,941.71x = 41,815,281.24
  5. Step 5: Solve for x
    x = 41,815,281.24/2,941.71
  6. Step 6: Final answer
    x = 14,214.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.