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Finding the Third Proportional to 28,966 and 63,116

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Solution

The third proportional to 28,966 and 63,116 is: 137,527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,966 : 63,116 = 63,116 : x
  2. Step 2: Convert to fraction form
    28,966/63,116 = 63,116/x
  3. Step 3: Cross multiply
    28,966x = 63,116 × 63,116
  4. Step 4: Simplify right side
    28,966x = 3,983,629,456
  5. Step 5: Solve for x
    x = 3,983,629,456/28,966
  6. Step 6: Final answer
    x = 137,527.77

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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.