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Finding the Third Proportional to 17,906 and 39,386

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Solution

The third proportional to 17,906 and 39,386 is: 86,633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906 : 39,386 = 39,386 : x
  2. Step 2: Convert to fraction form
    17,906/39,386 = 39,386/x
  3. Step 3: Cross multiply
    17,906x = 39,386 × 39,386
  4. Step 4: Simplify right side
    17,906x = 1,551,256,996
  5. Step 5: Solve for x
    x = 1,551,256,996/17,906
  6. Step 6: Final answer
    x = 86,633.36

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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.