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Finding the Third Proportional to 44,489 and 69,287

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Solution

The third proportional to 44,489 and 69,287 is: 107,907.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,489 : 69,287 = 69,287 : x
  2. Step 2: Convert to fraction form
    44,489/69,287 = 69,287/x
  3. Step 3: Cross multiply
    44,489x = 69,287 × 69,287
  4. Step 4: Simplify right side
    44,489x = 4,800,688,369
  5. Step 5: Solve for x
    x = 4,800,688,369/44,489
  6. Step 6: Final answer
    x = 107,907.31

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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.