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Finding the Third Proportional to 15,817.50 and 23,690

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Solution

The third proportional to 15,817.50 and 23,690 is: 35,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.50 : 23,690 = 23,690 : x
  2. Step 2: Convert to fraction form
    15,817.50/23,690 = 23,690/x
  3. Step 3: Cross multiply
    15,817.50x = 23,690 × 23,690
  4. Step 4: Simplify right side
    15,817.50x = 561,216,100
  5. Step 5: Solve for x
    x = 561,216,100/15,817.50
  6. Step 6: Final answer
    x = 35,480.71

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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.