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Finding the Third Proportional to 14,463 and 22,221

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Solution

The third proportional to 14,463 and 22,221 is: 34,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463 : 22,221 = 22,221 : x
  2. Step 2: Convert to fraction form
    14,463/22,221 = 22,221/x
  3. Step 3: Cross multiply
    14,463x = 22,221 × 22,221
  4. Step 4: Simplify right side
    14,463x = 493,772,841
  5. Step 5: Solve for x
    x = 493,772,841/14,463
  6. Step 6: Final answer
    x = 34,140.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.