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Finding the Third Proportional to 19,004.25 and 41,031.75

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Solution

The third proportional to 19,004.25 and 41,031.75 is: 88,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,004.25 : 41,031.75 = 41,031.75 : x
  2. Step 2: Convert to fraction form
    19,004.25/41,031.75 = 41,031.75/x
  3. Step 3: Cross multiply
    19,004.25x = 41,031.75 × 41,031.75
  4. Step 4: Simplify right side
    19,004.25x = 1,683,604,508.06
  5. Step 5: Solve for x
    x = 1,683,604,508.06/19,004.25
  6. Step 6: Final answer
    x = 88,590.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.