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Finding the Third Proportional to 13,122 and 27,722.25

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Solution

The third proportional to 13,122 and 27,722.25 is: 58,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122 : 27,722.25 = 27,722.25 : x
  2. Step 2: Convert to fraction form
    13,122/27,722.25 = 27,722.25/x
  3. Step 3: Cross multiply
    13,122x = 27,722.25 × 27,722.25
  4. Step 4: Simplify right side
    13,122x = 768,523,145.06
  5. Step 5: Solve for x
    x = 768,523,145.06/13,122
  6. Step 6: Final answer
    x = 58,567.53

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.