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Finding the Third Proportional to 13,883 and 22,204.50

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Solution

The third proportional to 13,883 and 22,204.50 is: 35,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883 : 22,204.50 = 22,204.50 : x
  2. Step 2: Convert to fraction form
    13,883/22,204.50 = 22,204.50/x
  3. Step 3: Cross multiply
    13,883x = 22,204.50 × 22,204.50
  4. Step 4: Simplify right side
    13,883x = 493,039,820.25
  5. Step 5: Solve for x
    x = 493,039,820.25/13,883
  6. Step 6: Final answer
    x = 35,513.92

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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.