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Finding the Third Proportional to 10,468 and 19,244

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Solution

The third proportional to 10,468 and 19,244 is: 35,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468 : 19,244 = 19,244 : x
  2. Step 2: Convert to fraction form
    10,468/19,244 = 19,244/x
  3. Step 3: Cross multiply
    10,468x = 19,244 × 19,244
  4. Step 4: Simplify right side
    10,468x = 370,331,536
  5. Step 5: Solve for x
    x = 370,331,536/10,468
  6. Step 6: Final answer
    x = 35,377.49

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.