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Finding the Third Proportional to 11,495 and 17,819

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Solution

The third proportional to 11,495 and 17,819 is: 27,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495 : 17,819 = 17,819 : x
  2. Step 2: Convert to fraction form
    11,495/17,819 = 17,819/x
  3. Step 3: Cross multiply
    11,495x = 17,819 × 17,819
  4. Step 4: Simplify right side
    11,495x = 317,516,761
  5. Step 5: Solve for x
    x = 317,516,761/11,495
  6. Step 6: Final answer
    x = 27,622.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.