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Finding the Third Proportional to 15,605 and 23,383

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Solution

The third proportional to 15,605 and 23,383 is: 35,037.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,605 : 23,383 = 23,383 : x
  2. Step 2: Convert to fraction form
    15,605/23,383 = 23,383/x
  3. Step 3: Cross multiply
    15,605x = 23,383 × 23,383
  4. Step 4: Simplify right side
    15,605x = 546,764,689
  5. Step 5: Solve for x
    x = 546,764,689/15,605
  6. Step 6: Final answer
    x = 35,037.79

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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.