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Finding the Third Proportional to 22,728.09 and 53,087.91

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Solution

The third proportional to 22,728.09 and 53,087.91 is: 124,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,728.09 : 53,087.91 = 53,087.91 : x
  2. Step 2: Convert to fraction form
    22,728.09/53,087.91 = 53,087.91/x
  3. Step 3: Cross multiply
    22,728.09x = 53,087.91 × 53,087.91
  4. Step 4: Simplify right side
    22,728.09x = 2,818,325,790.01
  5. Step 5: Solve for x
    x = 2,818,325,790.01/22,728.09
  6. Step 6: Final answer
    x = 124,001.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.