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Finding the Third Proportional to 36,128.50 and 57,535

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Solution

The third proportional to 36,128.50 and 57,535 is: 91,625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,128.50 : 57,535 = 57,535 : x
  2. Step 2: Convert to fraction form
    36,128.50/57,535 = 57,535/x
  3. Step 3: Cross multiply
    36,128.50x = 57,535 × 57,535
  4. Step 4: Simplify right side
    36,128.50x = 3,310,276,225
  5. Step 5: Solve for x
    x = 3,310,276,225/36,128.50
  6. Step 6: Final answer
    x = 91,625.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.