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Finding the Third Proportional to 29,379 and 64,590

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Solution

The third proportional to 29,379 and 64,590 is: 142,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,379 : 64,590 = 64,590 : x
  2. Step 2: Convert to fraction form
    29,379/64,590 = 64,590/x
  3. Step 3: Cross multiply
    29,379x = 64,590 × 64,590
  4. Step 4: Simplify right side
    29,379x = 4,171,868,100
  5. Step 5: Solve for x
    x = 4,171,868,100/29,379
  6. Step 6: Final answer
    x = 142,001.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.