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Finding the Third Proportional to 19,424 and 42,932

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Solution

The third proportional to 19,424 and 42,932 is: 94,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,424 : 42,932 = 42,932 : x
  2. Step 2: Convert to fraction form
    19,424/42,932 = 42,932/x
  3. Step 3: Cross multiply
    19,424x = 42,932 × 42,932
  4. Step 4: Simplify right side
    19,424x = 1,843,156,624
  5. Step 5: Solve for x
    x = 1,843,156,624/19,424
  6. Step 6: Final answer
    x = 94,890.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.