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Finding the Third Proportional to 36,780 and 55,575

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Solution

The third proportional to 36,780 and 55,575 is: 83,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,780 : 55,575 = 55,575 : x
  2. Step 2: Convert to fraction form
    36,780/55,575 = 55,575/x
  3. Step 3: Cross multiply
    36,780x = 55,575 × 55,575
  4. Step 4: Simplify right side
    36,780x = 3,088,580,625
  5. Step 5: Solve for x
    x = 3,088,580,625/36,780
  6. Step 6: Final answer
    x = 83,974.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.