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Finding the Third Proportional to 6,160 and 12,683

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Solution

The third proportional to 6,160 and 12,683 is: 26,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160 : 12,683 = 12,683 : x
  2. Step 2: Convert to fraction form
    6,160/12,683 = 12,683/x
  3. Step 3: Cross multiply
    6,160x = 12,683 × 12,683
  4. Step 4: Simplify right side
    6,160x = 160,858,489
  5. Step 5: Solve for x
    x = 160,858,489/6,160
  6. Step 6: Final answer
    x = 26,113.39

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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.