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Finding the Third Proportional to 36,209.44 and 53,017.97

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Solution

The third proportional to 36,209.44 and 53,017.97 is: 77,629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,209.44 : 53,017.97 = 53,017.97 : x
  2. Step 2: Convert to fraction form
    36,209.44/53,017.97 = 53,017.97/x
  3. Step 3: Cross multiply
    36,209.44x = 53,017.97 × 53,017.97
  4. Step 4: Simplify right side
    36,209.44x = 2,810,905,010.38
  5. Step 5: Solve for x
    x = 2,810,905,010.38/36,209.44
  6. Step 6: Final answer
    x = 77,629.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.