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Finding the Third Proportional to 20,715.75 and 28,883.25

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Solution

The third proportional to 20,715.75 and 28,883.25 is: 40,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715.75 : 28,883.25 = 28,883.25 : x
  2. Step 2: Convert to fraction form
    20,715.75/28,883.25 = 28,883.25/x
  3. Step 3: Cross multiply
    20,715.75x = 28,883.25 × 28,883.25
  4. Step 4: Simplify right side
    20,715.75x = 834,242,130.56
  5. Step 5: Solve for x
    x = 834,242,130.56/20,715.75
  6. Step 6: Final answer
    x = 40,270.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.