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Finding the Third Proportional to 2,943 and 6,392.25

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Solution

The third proportional to 2,943 and 6,392.25 is: 13,884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943 : 6,392.25 = 6,392.25 : x
  2. Step 2: Convert to fraction form
    2,943/6,392.25 = 6,392.25/x
  3. Step 3: Cross multiply
    2,943x = 6,392.25 × 6,392.25
  4. Step 4: Simplify right side
    2,943x = 40,860,860.06
  5. Step 5: Solve for x
    x = 40,860,860.06/2,943
  6. Step 6: Final answer
    x = 13,884.08

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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.