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Finding the Third Proportional to 15,593 and 23,390

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Solution

The third proportional to 15,593 and 23,390 is: 35,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,593 : 23,390 = 23,390 : x
  2. Step 2: Convert to fraction form
    15,593/23,390 = 23,390/x
  3. Step 3: Cross multiply
    15,593x = 23,390 × 23,390
  4. Step 4: Simplify right side
    15,593x = 547,092,100
  5. Step 5: Solve for x
    x = 547,092,100/15,593
  6. Step 6: Final answer
    x = 35,085.75

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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.