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Finding the Third Proportional to 27,474.19 and 53,201.81

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Solution

The third proportional to 27,474.19 and 53,201.81 is: 103,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,474.19 : 53,201.81 = 53,201.81 : x
  2. Step 2: Convert to fraction form
    27,474.19/53,201.81 = 53,201.81/x
  3. Step 3: Cross multiply
    27,474.19x = 53,201.81 × 53,201.81
  4. Step 4: Simplify right side
    27,474.19x = 2,830,432,853.29
  5. Step 5: Solve for x
    x = 2,830,432,853.29/27,474.19
  6. Step 6: Final answer
    x = 103,021.53

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These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.