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Finding the Third Proportional to 27,967.13 and 54,516.75

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Solution

The third proportional to 27,967.13 and 54,516.75 is: 106,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,967.13 : 54,516.75 = 54,516.75 : x
  2. Step 2: Convert to fraction form
    27,967.13/54,516.75 = 54,516.75/x
  3. Step 3: Cross multiply
    27,967.13x = 54,516.75 × 54,516.75
  4. Step 4: Simplify right side
    27,967.13x = 2,972,076,030.56
  5. Step 5: Solve for x
    x = 2,972,076,030.56/27,967.13
  6. Step 6: Final answer
    x = 106,270.35

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.