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Finding the Third Proportional to 13,444 and 29,288

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Solution

The third proportional to 13,444 and 29,288 is: 63,804.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444 : 29,288 = 29,288 : x
  2. Step 2: Convert to fraction form
    13,444/29,288 = 29,288/x
  3. Step 3: Cross multiply
    13,444x = 29,288 × 29,288
  4. Step 4: Simplify right side
    13,444x = 857,786,944
  5. Step 5: Solve for x
    x = 857,786,944/13,444
  6. Step 6: Final answer
    x = 63,804.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.