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Finding the Third Proportional to 11,210 and 24,031

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Solution

The third proportional to 11,210 and 24,031 is: 51,515.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210 : 24,031 = 24,031 : x
  2. Step 2: Convert to fraction form
    11,210/24,031 = 24,031/x
  3. Step 3: Cross multiply
    11,210x = 24,031 × 24,031
  4. Step 4: Simplify right side
    11,210x = 577,488,961
  5. Step 5: Solve for x
    x = 577,488,961/11,210
  6. Step 6: Final answer
    x = 51,515.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.