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Finding the Third Proportional to 11,444 and 24,830

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Solution

The third proportional to 11,444 and 24,830 is: 53,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444 : 24,830 = 24,830 : x
  2. Step 2: Convert to fraction form
    11,444/24,830 = 24,830/x
  3. Step 3: Cross multiply
    11,444x = 24,830 × 24,830
  4. Step 4: Simplify right side
    11,444x = 616,528,900
  5. Step 5: Solve for x
    x = 616,528,900/11,444
  6. Step 6: Final answer
    x = 53,873.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.