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Finding the Third Proportional to 23,132 and 31,152

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Solution

The third proportional to 23,132 and 31,152 is: 41,952.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,132 : 31,152 = 31,152 : x
  2. Step 2: Convert to fraction form
    23,132/31,152 = 31,152/x
  3. Step 3: Cross multiply
    23,132x = 31,152 × 31,152
  4. Step 4: Simplify right side
    23,132x = 970,447,104
  5. Step 5: Solve for x
    x = 970,447,104/23,132
  6. Step 6: Final answer
    x = 41,952.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.