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Finding the Third Proportional to 20,232 and 31,208

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Solution

The third proportional to 20,232 and 31,208 is: 48,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232 : 31,208 = 31,208 : x
  2. Step 2: Convert to fraction form
    20,232/31,208 = 31,208/x
  3. Step 3: Cross multiply
    20,232x = 31,208 × 31,208
  4. Step 4: Simplify right side
    20,232x = 973,939,264
  5. Step 5: Solve for x
    x = 973,939,264/20,232
  6. Step 6: Final answer
    x = 48,138.56

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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.