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Finding the Third Proportional to 29,762 and 40,420

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Solution

The third proportional to 29,762 and 40,420 is: 54,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762 : 40,420 = 40,420 : x
  2. Step 2: Convert to fraction form
    29,762/40,420 = 40,420/x
  3. Step 3: Cross multiply
    29,762x = 40,420 × 40,420
  4. Step 4: Simplify right side
    29,762x = 1,633,776,400
  5. Step 5: Solve for x
    x = 1,633,776,400/29,762
  6. Step 6: Final answer
    x = 54,894.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.