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Finding the Third Proportional to 6,683 and 10,143

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Solution

The third proportional to 6,683 and 10,143 is: 15,394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683 : 10,143 = 10,143 : x
  2. Step 2: Convert to fraction form
    6,683/10,143 = 10,143/x
  3. Step 3: Cross multiply
    6,683x = 10,143 × 10,143
  4. Step 4: Simplify right side
    6,683x = 102,880,449
  5. Step 5: Solve for x
    x = 102,880,449/6,683
  6. Step 6: Final answer
    x = 15,394.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.