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Finding the Third Proportional to 14,934 and 22,524

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Solution

The third proportional to 14,934 and 22,524 is: 33,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,934 : 22,524 = 22,524 : x
  2. Step 2: Convert to fraction form
    14,934/22,524 = 22,524/x
  3. Step 3: Cross multiply
    14,934x = 22,524 × 22,524
  4. Step 4: Simplify right side
    14,934x = 507,330,576
  5. Step 5: Solve for x
    x = 507,330,576/14,934
  6. Step 6: Final answer
    x = 33,971.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.