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Finding the Third Proportional to 24,031 and 51,614

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Solution

The third proportional to 24,031 and 51,614 is: 110,857.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,031 : 51,614 = 51,614 : x
  2. Step 2: Convert to fraction form
    24,031/51,614 = 51,614/x
  3. Step 3: Cross multiply
    24,031x = 51,614 × 51,614
  4. Step 4: Simplify right side
    24,031x = 2,664,004,996
  5. Step 5: Solve for x
    x = 2,664,004,996/24,031
  6. Step 6: Final answer
    x = 110,857.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.