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Finding the Third Proportional to 20,664 and 31,848

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Solution

The third proportional to 20,664 and 31,848 is: 49,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,664 : 31,848 = 31,848 : x
  2. Step 2: Convert to fraction form
    20,664/31,848 = 31,848/x
  3. Step 3: Cross multiply
    20,664x = 31,848 × 31,848
  4. Step 4: Simplify right side
    20,664x = 1,014,295,104
  5. Step 5: Solve for x
    x = 1,014,295,104/20,664
  6. Step 6: Final answer
    x = 49,085.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.