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Finding the Third Proportional to 22,933.75 and 34,631.63

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Solution

The third proportional to 22,933.75 and 34,631.63 is: 52,296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,933.75 : 34,631.63 = 34,631.63 : x
  2. Step 2: Convert to fraction form
    22,933.75/34,631.63 = 34,631.63/x
  3. Step 3: Cross multiply
    22,933.75x = 34,631.63 × 34,631.63
  4. Step 4: Simplify right side
    22,933.75x = 1,199,349,450.14
  5. Step 5: Solve for x
    x = 1,199,349,450.14/22,933.75
  6. Step 6: Final answer
    x = 52,296.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.