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Finding the Third Proportional to 29,164 and 54,656

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Solution

The third proportional to 29,164 and 54,656 is: 102,430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,164 : 54,656 = 54,656 : x
  2. Step 2: Convert to fraction form
    29,164/54,656 = 54,656/x
  3. Step 3: Cross multiply
    29,164x = 54,656 × 54,656
  4. Step 4: Simplify right side
    29,164x = 2,987,278,336
  5. Step 5: Solve for x
    x = 2,987,278,336/29,164
  6. Step 6: Final answer
    x = 102,430.34

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.