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Finding the Third Proportional to 36,090 and 53,826.75

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Solution

The third proportional to 36,090 and 53,826.75 is: 80,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,090 : 53,826.75 = 53,826.75 : x
  2. Step 2: Convert to fraction form
    36,090/53,826.75 = 53,826.75/x
  3. Step 3: Cross multiply
    36,090x = 53,826.75 × 53,826.75
  4. Step 4: Simplify right side
    36,090x = 2,897,319,015.56
  5. Step 5: Solve for x
    x = 2,897,319,015.56/36,090
  6. Step 6: Final answer
    x = 80,280.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.