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Finding the Third Proportional to 18,416 and 29,288

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Solution

The third proportional to 18,416 and 29,288 is: 46,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,416 : 29,288 = 29,288 : x
  2. Step 2: Convert to fraction form
    18,416/29,288 = 29,288/x
  3. Step 3: Cross multiply
    18,416x = 29,288 × 29,288
  4. Step 4: Simplify right side
    18,416x = 857,786,944
  5. Step 5: Solve for x
    x = 857,786,944/18,416
  6. Step 6: Final answer
    x = 46,578.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.