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Finding the Third Proportional to 39,401.25 and 51,717

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Solution

The third proportional to 39,401.25 and 51,717 is: 67,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,401.25 : 51,717 = 51,717 : x
  2. Step 2: Convert to fraction form
    39,401.25/51,717 = 51,717/x
  3. Step 3: Cross multiply
    39,401.25x = 51,717 × 51,717
  4. Step 4: Simplify right side
    39,401.25x = 2,674,648,089
  5. Step 5: Solve for x
    x = 2,674,648,089/39,401.25
  6. Step 6: Final answer
    x = 67,882.32

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.