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Finding the Third Proportional to 6,287 and 13,429

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Solution

The third proportional to 6,287 and 13,429 is: 28,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287 : 13,429 = 13,429 : x
  2. Step 2: Convert to fraction form
    6,287/13,429 = 13,429/x
  3. Step 3: Cross multiply
    6,287x = 13,429 × 13,429
  4. Step 4: Simplify right side
    6,287x = 180,338,041
  5. Step 5: Solve for x
    x = 180,338,041/6,287
  6. Step 6: Final answer
    x = 28,684.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.