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Finding the Third Proportional to 19,008.25 and 29,817.75

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Solution

The third proportional to 19,008.25 and 29,817.75 is: 46,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,008.25 : 29,817.75 = 29,817.75 : x
  2. Step 2: Convert to fraction form
    19,008.25/29,817.75 = 29,817.75/x
  3. Step 3: Cross multiply
    19,008.25x = 29,817.75 × 29,817.75
  4. Step 4: Simplify right side
    19,008.25x = 889,098,215.06
  5. Step 5: Solve for x
    x = 889,098,215.06/19,008.25
  6. Step 6: Final answer
    x = 46,774.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.