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Finding the Third Proportional to 22,551 and 32,054.25

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Solution

The third proportional to 22,551 and 32,054.25 is: 45,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,551 : 32,054.25 = 32,054.25 : x
  2. Step 2: Convert to fraction form
    22,551/32,054.25 = 32,054.25/x
  3. Step 3: Cross multiply
    22,551x = 32,054.25 × 32,054.25
  4. Step 4: Simplify right side
    22,551x = 1,027,474,943.06
  5. Step 5: Solve for x
    x = 1,027,474,943.06/22,551
  6. Step 6: Final answer
    x = 45,562.28

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.