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Finding the Third Proportional to 37,764 and 59,996

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Solution

The third proportional to 37,764 and 59,996 is: 95,316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,764 : 59,996 = 59,996 : x
  2. Step 2: Convert to fraction form
    37,764/59,996 = 59,996/x
  3. Step 3: Cross multiply
    37,764x = 59,996 × 59,996
  4. Step 4: Simplify right side
    37,764x = 3,599,520,016
  5. Step 5: Solve for x
    x = 3,599,520,016/37,764
  6. Step 6: Final answer
    x = 95,316.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.