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Finding the Third Proportional to 6,495 and 13,374

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Solution

The third proportional to 6,495 and 13,374 is: 27,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495 : 13,374 = 13,374 : x
  2. Step 2: Convert to fraction form
    6,495/13,374 = 13,374/x
  3. Step 3: Cross multiply
    6,495x = 13,374 × 13,374
  4. Step 4: Simplify right side
    6,495x = 178,863,876
  5. Step 5: Solve for x
    x = 178,863,876/6,495
  6. Step 6: Final answer
    x = 27,538.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.