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Finding the Third Proportional to 23,440 and 36,652

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Solution

The third proportional to 23,440 and 36,652 is: 57,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,440 : 36,652 = 36,652 : x
  2. Step 2: Convert to fraction form
    23,440/36,652 = 36,652/x
  3. Step 3: Cross multiply
    23,440x = 36,652 × 36,652
  4. Step 4: Simplify right side
    23,440x = 1,343,369,104
  5. Step 5: Solve for x
    x = 1,343,369,104/23,440
  6. Step 6: Final answer
    x = 57,310.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.