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Finding the Third Proportional to 23,435 and 37,739

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Solution

The third proportional to 23,435 and 37,739 is: 60,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,435 : 37,739 = 37,739 : x
  2. Step 2: Convert to fraction form
    23,435/37,739 = 37,739/x
  3. Step 3: Cross multiply
    23,435x = 37,739 × 37,739
  4. Step 4: Simplify right side
    23,435x = 1,424,232,121
  5. Step 5: Solve for x
    x = 1,424,232,121/23,435
  6. Step 6: Final answer
    x = 60,773.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.