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Finding the Third Proportional to 30,660 and 56,944

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Solution

The third proportional to 30,660 and 56,944 is: 105,760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,660 : 56,944 = 56,944 : x
  2. Step 2: Convert to fraction form
    30,660/56,944 = 56,944/x
  3. Step 3: Cross multiply
    30,660x = 56,944 × 56,944
  4. Step 4: Simplify right side
    30,660x = 3,242,619,136
  5. Step 5: Solve for x
    x = 3,242,619,136/30,660
  6. Step 6: Final answer
    x = 105,760.57

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.