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Finding the Third Proportional to 10,838 and 15,844

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Solution

The third proportional to 10,838 and 15,844 is: 23,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838 : 15,844 = 15,844 : x
  2. Step 2: Convert to fraction form
    10,838/15,844 = 15,844/x
  3. Step 3: Cross multiply
    10,838x = 15,844 × 15,844
  4. Step 4: Simplify right side
    10,838x = 251,032,336
  5. Step 5: Solve for x
    x = 251,032,336/10,838
  6. Step 6: Final answer
    x = 23,162.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.