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Finding the Third Proportional to 8,735 and 19,051

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Solution

The third proportional to 8,735 and 19,051 is: 41,550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735 : 19,051 = 19,051 : x
  2. Step 2: Convert to fraction form
    8,735/19,051 = 19,051/x
  3. Step 3: Cross multiply
    8,735x = 19,051 × 19,051
  4. Step 4: Simplify right side
    8,735x = 362,940,601
  5. Step 5: Solve for x
    x = 362,940,601/8,735
  6. Step 6: Final answer
    x = 41,550.15

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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.