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Finding the Third Proportional to 13,922.72 and 22,856.25

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Solution

The third proportional to 13,922.72 and 22,856.25 is: 37,521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.72 : 22,856.25 = 22,856.25 : x
  2. Step 2: Convert to fraction form
    13,922.72/22,856.25 = 22,856.25/x
  3. Step 3: Cross multiply
    13,922.72x = 22,856.25 × 22,856.25
  4. Step 4: Simplify right side
    13,922.72x = 522,408,164.06
  5. Step 5: Solve for x
    x = 522,408,164.06/13,922.72
  6. Step 6: Final answer
    x = 37,521.99

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.