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Finding the Third Proportional to 29,978 and 45,045

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Solution

The third proportional to 29,978 and 45,045 is: 67,684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978 : 45,045 = 45,045 : x
  2. Step 2: Convert to fraction form
    29,978/45,045 = 45,045/x
  3. Step 3: Cross multiply
    29,978x = 45,045 × 45,045
  4. Step 4: Simplify right side
    29,978x = 2,029,052,025
  5. Step 5: Solve for x
    x = 2,029,052,025/29,978
  6. Step 6: Final answer
    x = 67,684.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.