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Finding the Third Proportional to 9,031 and 21,754

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Solution

The third proportional to 9,031 and 21,754 is: 52,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031 : 21,754 = 21,754 : x
  2. Step 2: Convert to fraction form
    9,031/21,754 = 21,754/x
  3. Step 3: Cross multiply
    9,031x = 21,754 × 21,754
  4. Step 4: Simplify right side
    9,031x = 473,236,516
  5. Step 5: Solve for x
    x = 473,236,516/9,031
  6. Step 6: Final answer
    x = 52,401.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.