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Finding the Third Proportional to 36,836 and 55,560

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Solution

The third proportional to 36,836 and 55,560 is: 83,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,836 : 55,560 = 55,560 : x
  2. Step 2: Convert to fraction form
    36,836/55,560 = 55,560/x
  3. Step 3: Cross multiply
    36,836x = 55,560 × 55,560
  4. Step 4: Simplify right side
    36,836x = 3,086,913,600
  5. Step 5: Solve for x
    x = 3,086,913,600/36,836
  6. Step 6: Final answer
    x = 83,801.54

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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.