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Finding the Third Proportional to 19,298 and 25,732

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Solution

The third proportional to 19,298 and 25,732 is: 34,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,298 : 25,732 = 25,732 : x
  2. Step 2: Convert to fraction form
    19,298/25,732 = 25,732/x
  3. Step 3: Cross multiply
    19,298x = 25,732 × 25,732
  4. Step 4: Simplify right side
    19,298x = 662,135,824
  5. Step 5: Solve for x
    x = 662,135,824/19,298
  6. Step 6: Final answer
    x = 34,311.11

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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.