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Finding the Third Proportional to 40,314 and 57,008

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Solution

The third proportional to 40,314 and 57,008 is: 80,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,314 : 57,008 = 57,008 : x
  2. Step 2: Convert to fraction form
    40,314/57,008 = 57,008/x
  3. Step 3: Cross multiply
    40,314x = 57,008 × 57,008
  4. Step 4: Simplify right side
    40,314x = 3,249,912,064
  5. Step 5: Solve for x
    x = 3,249,912,064/40,314
  6. Step 6: Final answer
    x = 80,614.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.