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Finding the Third Proportional to 37,760 and 59,988

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Solution

The third proportional to 37,760 and 59,988 is: 95,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,760 : 59,988 = 59,988 : x
  2. Step 2: Convert to fraction form
    37,760/59,988 = 59,988/x
  3. Step 3: Cross multiply
    37,760x = 59,988 × 59,988
  4. Step 4: Simplify right side
    37,760x = 3,598,560,144
  5. Step 5: Solve for x
    x = 3,598,560,144/37,760
  6. Step 6: Final answer
    x = 95,300.85

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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.