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Finding the Third Proportional to 37,989 and 86,305.50

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Solution

The third proportional to 37,989 and 86,305.50 is: 196,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,989 : 86,305.50 = 86,305.50 : x
  2. Step 2: Convert to fraction form
    37,989/86,305.50 = 86,305.50/x
  3. Step 3: Cross multiply
    37,989x = 86,305.50 × 86,305.50
  4. Step 4: Simplify right side
    37,989x = 7,448,639,330.25
  5. Step 5: Solve for x
    x = 7,448,639,330.25/37,989
  6. Step 6: Final answer
    x = 196,073.58

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.