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Finding the Third Proportional to 18,616 and 39,829

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Solution

The third proportional to 18,616 and 39,829 is: 85,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,616 : 39,829 = 39,829 : x
  2. Step 2: Convert to fraction form
    18,616/39,829 = 39,829/x
  3. Step 3: Cross multiply
    18,616x = 39,829 × 39,829
  4. Step 4: Simplify right side
    18,616x = 1,586,349,241
  5. Step 5: Solve for x
    x = 1,586,349,241/18,616
  6. Step 6: Final answer
    x = 85,214.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.