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Finding the Third Proportional to 10,818 and 23,031

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Solution

The third proportional to 10,818 and 23,031 is: 49,031.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818 : 23,031 = 23,031 : x
  2. Step 2: Convert to fraction form
    10,818/23,031 = 23,031/x
  3. Step 3: Cross multiply
    10,818x = 23,031 × 23,031
  4. Step 4: Simplify right side
    10,818x = 530,426,961
  5. Step 5: Solve for x
    x = 530,426,961/10,818
  6. Step 6: Final answer
    x = 49,031.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.