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Finding the Third Proportional to 6,188 and 13,531

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Solution

The third proportional to 6,188 and 13,531 is: 29,587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188 : 13,531 = 13,531 : x
  2. Step 2: Convert to fraction form
    6,188/13,531 = 13,531/x
  3. Step 3: Cross multiply
    6,188x = 13,531 × 13,531
  4. Step 4: Simplify right side
    6,188x = 183,087,961
  5. Step 5: Solve for x
    x = 183,087,961/6,188
  6. Step 6: Final answer
    x = 29,587.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.