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Finding the Third Proportional to 29,690 and 55,684

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Solution

The third proportional to 29,690 and 55,684 is: 104,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,690 : 55,684 = 55,684 : x
  2. Step 2: Convert to fraction form
    29,690/55,684 = 55,684/x
  3. Step 3: Cross multiply
    29,690x = 55,684 × 55,684
  4. Step 4: Simplify right side
    29,690x = 3,100,707,856
  5. Step 5: Solve for x
    x = 3,100,707,856/29,690
  6. Step 6: Final answer
    x = 104,436.10

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.