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Finding the Third Proportional to 24,962 and 36,419

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Solution

The third proportional to 24,962 and 36,419 is: 53,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,962 : 36,419 = 36,419 : x
  2. Step 2: Convert to fraction form
    24,962/36,419 = 36,419/x
  3. Step 3: Cross multiply
    24,962x = 36,419 × 36,419
  4. Step 4: Simplify right side
    24,962x = 1,326,343,561
  5. Step 5: Solve for x
    x = 1,326,343,561/24,962
  6. Step 6: Final answer
    x = 53,134.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.