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Finding the Third Proportional to 20,156.50 and 30,255

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Solution

The third proportional to 20,156.50 and 30,255 is: 45,412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156.50 : 30,255 = 30,255 : x
  2. Step 2: Convert to fraction form
    20,156.50/30,255 = 30,255/x
  3. Step 3: Cross multiply
    20,156.50x = 30,255 × 30,255
  4. Step 4: Simplify right side
    20,156.50x = 915,365,025
  5. Step 5: Solve for x
    x = 915,365,025/20,156.50
  6. Step 6: Final answer
    x = 45,412.90

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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.