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Finding the Third Proportional to 20,624 and 30,932

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Solution

The third proportional to 20,624 and 30,932 is: 46,392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,624 : 30,932 = 30,932 : x
  2. Step 2: Convert to fraction form
    20,624/30,932 = 30,932/x
  3. Step 3: Cross multiply
    20,624x = 30,932 × 30,932
  4. Step 4: Simplify right side
    20,624x = 956,788,624
  5. Step 5: Solve for x
    x = 956,788,624/20,624
  6. Step 6: Final answer
    x = 46,392.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.