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Finding the Third Proportional to 8,501 and 18,683

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Solution

The third proportional to 8,501 and 18,683 is: 41,060.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501 : 18,683 = 18,683 : x
  2. Step 2: Convert to fraction form
    8,501/18,683 = 18,683/x
  3. Step 3: Cross multiply
    8,501x = 18,683 × 18,683
  4. Step 4: Simplify right side
    8,501x = 349,054,489
  5. Step 5: Solve for x
    x = 349,054,489/8,501
  6. Step 6: Final answer
    x = 41,060.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.