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Finding the Third Proportional to 13,856.91 and 22,226.91

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Solution

The third proportional to 13,856.91 and 22,226.91 is: 35,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.91 : 22,226.91 = 22,226.91 : x
  2. Step 2: Convert to fraction form
    13,856.91/22,226.91 = 22,226.91/x
  3. Step 3: Cross multiply
    13,856.91x = 22,226.91 × 22,226.91
  4. Step 4: Simplify right side
    13,856.91x = 494,035,361.45
  5. Step 5: Solve for x
    x = 494,035,361.45/13,856.91
  6. Step 6: Final answer
    x = 35,652.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.