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Finding the Third Proportional to 37,494 and 59,697

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Solution

The third proportional to 37,494 and 59,697 is: 95,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,494 : 59,697 = 59,697 : x
  2. Step 2: Convert to fraction form
    37,494/59,697 = 59,697/x
  3. Step 3: Cross multiply
    37,494x = 59,697 × 59,697
  4. Step 4: Simplify right side
    37,494x = 3,563,731,809
  5. Step 5: Solve for x
    x = 3,563,731,809/37,494
  6. Step 6: Final answer
    x = 95,048.06

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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.