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Finding the Third Proportional to 36,220.75 and 55,407.50

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Solution

The third proportional to 36,220.75 and 55,407.50 is: 84,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,220.75 : 55,407.50 = 55,407.50 : x
  2. Step 2: Convert to fraction form
    36,220.75/55,407.50 = 55,407.50/x
  3. Step 3: Cross multiply
    36,220.75x = 55,407.50 × 55,407.50
  4. Step 4: Simplify right side
    36,220.75x = 3,069,991,056.25
  5. Step 5: Solve for x
    x = 3,069,991,056.25/36,220.75
  6. Step 6: Final answer
    x = 84,757.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.