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Finding the Third Proportional to 14,221 and 19,603.50

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Solution

The third proportional to 14,221 and 19,603.50 is: 27,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221 : 19,603.50 = 19,603.50 : x
  2. Step 2: Convert to fraction form
    14,221/19,603.50 = 19,603.50/x
  3. Step 3: Cross multiply
    14,221x = 19,603.50 × 19,603.50
  4. Step 4: Simplify right side
    14,221x = 384,297,212.25
  5. Step 5: Solve for x
    x = 384,297,212.25/14,221
  6. Step 6: Final answer
    x = 27,023.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.