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Finding the Third Proportional to 20,232 and 30,924

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Solution

The third proportional to 20,232 and 30,924 is: 47,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232 : 30,924 = 30,924 : x
  2. Step 2: Convert to fraction form
    20,232/30,924 = 30,924/x
  3. Step 3: Cross multiply
    20,232x = 30,924 × 30,924
  4. Step 4: Simplify right side
    20,232x = 956,293,776
  5. Step 5: Solve for x
    x = 956,293,776/20,232
  6. Step 6: Final answer
    x = 47,266.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.