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Finding the Third Proportional to 14,288 and 22,229

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Solution

The third proportional to 14,288 and 22,229 is: 34,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288 : 22,229 = 22,229 : x
  2. Step 2: Convert to fraction form
    14,288/22,229 = 22,229/x
  3. Step 3: Cross multiply
    14,288x = 22,229 × 22,229
  4. Step 4: Simplify right side
    14,288x = 494,128,441
  5. Step 5: Solve for x
    x = 494,128,441/14,288
  6. Step 6: Final answer
    x = 34,583.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.