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Finding the Third Proportional to 23,302.69 and 34,956.56

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Solution

The third proportional to 23,302.69 and 34,956.56 is: 52,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,302.69 : 34,956.56 = 34,956.56 : x
  2. Step 2: Convert to fraction form
    23,302.69/34,956.56 = 34,956.56/x
  3. Step 3: Cross multiply
    23,302.69x = 34,956.56 × 34,956.56
  4. Step 4: Simplify right side
    23,302.69x = 1,221,961,261.82
  5. Step 5: Solve for x
    x = 1,221,961,261.82/23,302.69
  6. Step 6: Final answer
    x = 52,438.64

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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.