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Finding the Third Proportional to 19,997 and 43,306

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Solution

The third proportional to 19,997 and 43,306 is: 93,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997 : 43,306 = 43,306 : x
  2. Step 2: Convert to fraction form
    19,997/43,306 = 43,306/x
  3. Step 3: Cross multiply
    19,997x = 43,306 × 43,306
  4. Step 4: Simplify right side
    19,997x = 1,875,409,636
  5. Step 5: Solve for x
    x = 1,875,409,636/19,997
  6. Step 6: Final answer
    x = 93,784.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.