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Finding the Third Proportional to 22,047.75 and 52,004.25

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Solution

The third proportional to 22,047.75 and 52,004.25 is: 122,662.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,047.75 : 52,004.25 = 52,004.25 : x
  2. Step 2: Convert to fraction form
    22,047.75/52,004.25 = 52,004.25/x
  3. Step 3: Cross multiply
    22,047.75x = 52,004.25 × 52,004.25
  4. Step 4: Simplify right side
    22,047.75x = 2,704,442,018.06
  5. Step 5: Solve for x
    x = 2,704,442,018.06/22,047.75
  6. Step 6: Final answer
    x = 122,662.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.