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Finding the Third Proportional to 43,776 and 67,614

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Solution

The third proportional to 43,776 and 67,614 is: 104,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,776 : 67,614 = 67,614 : x
  2. Step 2: Convert to fraction form
    43,776/67,614 = 67,614/x
  3. Step 3: Cross multiply
    43,776x = 67,614 × 67,614
  4. Step 4: Simplify right side
    43,776x = 4,571,652,996
  5. Step 5: Solve for x
    x = 4,571,652,996/43,776
  6. Step 6: Final answer
    x = 104,432.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.