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Finding the Third Proportional to 10,438 and 19,400

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Solution

The third proportional to 10,438 and 19,400 is: 36,056.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438 : 19,400 = 19,400 : x
  2. Step 2: Convert to fraction form
    10,438/19,400 = 19,400/x
  3. Step 3: Cross multiply
    10,438x = 19,400 × 19,400
  4. Step 4: Simplify right side
    10,438x = 376,360,000
  5. Step 5: Solve for x
    x = 376,360,000/10,438
  6. Step 6: Final answer
    x = 36,056.72

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.