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Finding the Third Proportional to 23,100.19 and 27,052.73

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Solution

The third proportional to 23,100.19 and 27,052.73 is: 31,681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,100.19 : 27,052.73 = 27,052.73 : x
  2. Step 2: Convert to fraction form
    23,100.19/27,052.73 = 27,052.73/x
  3. Step 3: Cross multiply
    23,100.19x = 27,052.73 × 27,052.73
  4. Step 4: Simplify right side
    23,100.19x = 731,850,437.16
  5. Step 5: Solve for x
    x = 731,850,437.16/23,100.19
  6. Step 6: Final answer
    x = 31,681.58

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.