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Finding the Third Proportional to 15,902 and 33,998

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Solution

The third proportional to 15,902 and 33,998 is: 72,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902 : 33,998 = 33,998 : x
  2. Step 2: Convert to fraction form
    15,902/33,998 = 33,998/x
  3. Step 3: Cross multiply
    15,902x = 33,998 × 33,998
  4. Step 4: Simplify right side
    15,902x = 1,155,864,004
  5. Step 5: Solve for x
    x = 1,155,864,004/15,902
  6. Step 6: Final answer
    x = 72,686.71

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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.