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Finding the Third Proportional to 44,130 and 67,350

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Solution

The third proportional to 44,130 and 67,350 is: 102,787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,130 : 67,350 = 67,350 : x
  2. Step 2: Convert to fraction form
    44,130/67,350 = 67,350/x
  3. Step 3: Cross multiply
    44,130x = 67,350 × 67,350
  4. Step 4: Simplify right side
    44,130x = 4,536,022,500
  5. Step 5: Solve for x
    x = 4,536,022,500/44,130
  6. Step 6: Final answer
    x = 102,787.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.