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Finding the Third Proportional to 44,966 and 69,477

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Solution

The third proportional to 44,966 and 69,477 is: 107,348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,966 : 69,477 = 69,477 : x
  2. Step 2: Convert to fraction form
    44,966/69,477 = 69,477/x
  3. Step 3: Cross multiply
    44,966x = 69,477 × 69,477
  4. Step 4: Simplify right side
    44,966x = 4,827,053,529
  5. Step 5: Solve for x
    x = 4,827,053,529/44,966
  6. Step 6: Final answer
    x = 107,348.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.