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Finding the Third Proportional to 19,733.50 and 41,291

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Solution

The third proportional to 19,733.50 and 41,291 is: 86,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,733.50 : 41,291 = 41,291 : x
  2. Step 2: Convert to fraction form
    19,733.50/41,291 = 41,291/x
  3. Step 3: Cross multiply
    19,733.50x = 41,291 × 41,291
  4. Step 4: Simplify right side
    19,733.50x = 1,704,946,681
  5. Step 5: Solve for x
    x = 1,704,946,681/19,733.50
  6. Step 6: Final answer
    x = 86,398.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.