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Finding the Third Proportional to 36,210 and 54,091

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Solution

The third proportional to 36,210 and 54,091 is: 80,801.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,210 : 54,091 = 54,091 : x
  2. Step 2: Convert to fraction form
    36,210/54,091 = 54,091/x
  3. Step 3: Cross multiply
    36,210x = 54,091 × 54,091
  4. Step 4: Simplify right side
    36,210x = 2,925,836,281
  5. Step 5: Solve for x
    x = 2,925,836,281/36,210
  6. Step 6: Final answer
    x = 80,801.89

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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.