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Finding the Third Proportional to 24,693 and 35,285

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Solution

The third proportional to 24,693 and 35,285 is: 50,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,693 : 35,285 = 35,285 : x
  2. Step 2: Convert to fraction form
    24,693/35,285 = 35,285/x
  3. Step 3: Cross multiply
    24,693x = 35,285 × 35,285
  4. Step 4: Simplify right side
    24,693x = 1,245,031,225
  5. Step 5: Solve for x
    x = 1,245,031,225/24,693
  6. Step 6: Final answer
    x = 50,420.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.