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Finding the Third Proportional to 19,834 and 26,322

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Solution

The third proportional to 19,834 and 26,322 is: 34,932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834 : 26,322 = 26,322 : x
  2. Step 2: Convert to fraction form
    19,834/26,322 = 26,322/x
  3. Step 3: Cross multiply
    19,834x = 26,322 × 26,322
  4. Step 4: Simplify right side
    19,834x = 692,847,684
  5. Step 5: Solve for x
    x = 692,847,684/19,834
  6. Step 6: Final answer
    x = 34,932.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.