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Finding the Third Proportional to 29,830 and 63,116

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Solution

The third proportional to 29,830 and 63,116 is: 133,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830 : 63,116 = 63,116 : x
  2. Step 2: Convert to fraction form
    29,830/63,116 = 63,116/x
  3. Step 3: Cross multiply
    29,830x = 63,116 × 63,116
  4. Step 4: Simplify right side
    29,830x = 3,983,629,456
  5. Step 5: Solve for x
    x = 3,983,629,456/29,830
  6. Step 6: Final answer
    x = 133,544.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.