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Finding the Third Proportional to 24,285 and 28,821

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Solution

The third proportional to 24,285 and 28,821 is: 34,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,285 : 28,821 = 28,821 : x
  2. Step 2: Convert to fraction form
    24,285/28,821 = 28,821/x
  3. Step 3: Cross multiply
    24,285x = 28,821 × 28,821
  4. Step 4: Simplify right side
    24,285x = 830,650,041
  5. Step 5: Solve for x
    x = 830,650,041/24,285
  6. Step 6: Final answer
    x = 34,204.24

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.