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Finding the Third Proportional to 44,529 and 69,346

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Solution

The third proportional to 44,529 and 69,346 is: 107,994.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,529 : 69,346 = 69,346 : x
  2. Step 2: Convert to fraction form
    44,529/69,346 = 69,346/x
  3. Step 3: Cross multiply
    44,529x = 69,346 × 69,346
  4. Step 4: Simplify right side
    44,529x = 4,808,867,716
  5. Step 5: Solve for x
    x = 4,808,867,716/44,529
  6. Step 6: Final answer
    x = 107,994.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.