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Finding the Third Proportional to 23,522 and 35,287

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Solution

The third proportional to 23,522 and 35,287 is: 52,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522 : 35,287 = 35,287 : x
  2. Step 2: Convert to fraction form
    23,522/35,287 = 35,287/x
  3. Step 3: Cross multiply
    23,522x = 35,287 × 35,287
  4. Step 4: Simplify right side
    23,522x = 1,245,172,369
  5. Step 5: Solve for x
    x = 1,245,172,369/23,522
  6. Step 6: Final answer
    x = 52,936.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.