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Finding the Third Proportional to 6,542 and 14,284

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Solution

The third proportional to 6,542 and 14,284 is: 31,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542 : 14,284 = 14,284 : x
  2. Step 2: Convert to fraction form
    6,542/14,284 = 14,284/x
  3. Step 3: Cross multiply
    6,542x = 14,284 × 14,284
  4. Step 4: Simplify right side
    6,542x = 204,032,656
  5. Step 5: Solve for x
    x = 204,032,656/6,542
  6. Step 6: Final answer
    x = 31,188.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.