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Finding the Third Proportional to 23,056.50 and 31,293

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Solution

The third proportional to 23,056.50 and 31,293 is: 42,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,056.50 : 31,293 = 31,293 : x
  2. Step 2: Convert to fraction form
    23,056.50/31,293 = 31,293/x
  3. Step 3: Cross multiply
    23,056.50x = 31,293 × 31,293
  4. Step 4: Simplify right side
    23,056.50x = 979,251,849
  5. Step 5: Solve for x
    x = 979,251,849/23,056.50
  6. Step 6: Final answer
    x = 42,471.83

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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.