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Finding the Third Proportional to 23,051 and 34,595

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Solution

The third proportional to 23,051 and 34,595 is: 51,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,051 : 34,595 = 34,595 : x
  2. Step 2: Convert to fraction form
    23,051/34,595 = 34,595/x
  3. Step 3: Cross multiply
    23,051x = 34,595 × 34,595
  4. Step 4: Simplify right side
    23,051x = 1,196,814,025
  5. Step 5: Solve for x
    x = 1,196,814,025/23,051
  6. Step 6: Final answer
    x = 51,920.26

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