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Finding the Third Proportional to 13,683 and 29,710

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Solution

The third proportional to 13,683 and 29,710 is: 64,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683 : 29,710 = 29,710 : x
  2. Step 2: Convert to fraction form
    13,683/29,710 = 29,710/x
  3. Step 3: Cross multiply
    13,683x = 29,710 × 29,710
  4. Step 4: Simplify right side
    13,683x = 882,684,100
  5. Step 5: Solve for x
    x = 882,684,100/13,683
  6. Step 6: Final answer
    x = 64,509.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.