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Finding the Third Proportional to 30,898 and 44,691

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Solution

The third proportional to 30,898 and 44,691 is: 64,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898 : 44,691 = 44,691 : x
  2. Step 2: Convert to fraction form
    30,898/44,691 = 44,691/x
  3. Step 3: Cross multiply
    30,898x = 44,691 × 44,691
  4. Step 4: Simplify right side
    30,898x = 1,997,285,481
  5. Step 5: Solve for x
    x = 1,997,285,481/30,898
  6. Step 6: Final answer
    x = 64,641.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.