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Finding the Third Proportional to 17,806 and 37,913

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Solution

The third proportional to 17,806 and 37,913 is: 80,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806 : 37,913 = 37,913 : x
  2. Step 2: Convert to fraction form
    17,806/37,913 = 37,913/x
  3. Step 3: Cross multiply
    17,806x = 37,913 × 37,913
  4. Step 4: Simplify right side
    17,806x = 1,437,395,569
  5. Step 5: Solve for x
    x = 1,437,395,569/17,806
  6. Step 6: Final answer
    x = 80,725.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.