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Finding the Third Proportional to 15,852 and 23,727.75

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Solution

The third proportional to 15,852 and 23,727.75 is: 35,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852 : 23,727.75 = 23,727.75 : x
  2. Step 2: Convert to fraction form
    15,852/23,727.75 = 23,727.75/x
  3. Step 3: Cross multiply
    15,852x = 23,727.75 × 23,727.75
  4. Step 4: Simplify right side
    15,852x = 563,006,120.06
  5. Step 5: Solve for x
    x = 563,006,120.06/15,852
  6. Step 6: Final answer
    x = 35,516.41

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Why These Related Problems?

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