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Finding the Third Proportional to 10,790 and 23,656

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Solution

The third proportional to 10,790 and 23,656 is: 51,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,790 : 23,656 = 23,656 : x
  2. Step 2: Convert to fraction form
    10,790/23,656 = 23,656/x
  3. Step 3: Cross multiply
    10,790x = 23,656 × 23,656
  4. Step 4: Simplify right side
    10,790x = 559,606,336
  5. Step 5: Solve for x
    x = 559,606,336/10,790
  6. Step 6: Final answer
    x = 51,863.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.