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Finding the Third Proportional to 8,743 and 19,043

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Solution

The third proportional to 8,743 and 19,043 is: 41,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,743 : 19,043 = 19,043 : x
  2. Step 2: Convert to fraction form
    8,743/19,043 = 19,043/x
  3. Step 3: Cross multiply
    8,743x = 19,043 × 19,043
  4. Step 4: Simplify right side
    8,743x = 362,635,849
  5. Step 5: Solve for x
    x = 362,635,849/8,743
  6. Step 6: Final answer
    x = 41,477.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.