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Finding the Third Proportional to 15,844 and 24,530

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Solution

The third proportional to 15,844 and 24,530 is: 37,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,844 : 24,530 = 24,530 : x
  2. Step 2: Convert to fraction form
    15,844/24,530 = 24,530/x
  3. Step 3: Cross multiply
    15,844x = 24,530 × 24,530
  4. Step 4: Simplify right side
    15,844x = 601,720,900
  5. Step 5: Solve for x
    x = 601,720,900/15,844
  6. Step 6: Final answer
    x = 37,977.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.