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Finding the Third Proportional to 36,090 and 55,775.25

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Solution

The third proportional to 36,090 and 55,775.25 is: 86,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,090 : 55,775.25 = 55,775.25 : x
  2. Step 2: Convert to fraction form
    36,090/55,775.25 = 55,775.25/x
  3. Step 3: Cross multiply
    36,090x = 55,775.25 × 55,775.25
  4. Step 4: Simplify right side
    36,090x = 3,110,878,512.56
  5. Step 5: Solve for x
    x = 3,110,878,512.56/36,090
  6. Step 6: Final answer
    x = 86,197.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.