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Finding the Third Proportional to 22,038 and 29,978

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Solution

The third proportional to 22,038 and 29,978 is: 40,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038 : 29,978 = 29,978 : x
  2. Step 2: Convert to fraction form
    22,038/29,978 = 29,978/x
  3. Step 3: Cross multiply
    22,038x = 29,978 × 29,978
  4. Step 4: Simplify right side
    22,038x = 898,680,484
  5. Step 5: Solve for x
    x = 898,680,484/22,038
  6. Step 6: Final answer
    x = 40,778.68

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.