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Finding the Third Proportional to 2,941.31 and 6,348.38

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Solution

The third proportional to 2,941.31 and 6,348.38 is: 13,702.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.31 : 6,348.38 = 6,348.38 : x
  2. Step 2: Convert to fraction form
    2,941.31/6,348.38 = 6,348.38/x
  3. Step 3: Cross multiply
    2,941.31x = 6,348.38 × 6,348.38
  4. Step 4: Simplify right side
    2,941.31x = 40,301,865.14
  5. Step 5: Solve for x
    x = 40,301,865.14/2,941.31
  6. Step 6: Final answer
    x = 13,702.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.