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Finding the Third Proportional to 19,615.88 and 40,265.13

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Solution

The third proportional to 19,615.88 and 40,265.13 is: 82,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615.88 : 40,265.13 = 40,265.13 : x
  2. Step 2: Convert to fraction form
    19,615.88/40,265.13 = 40,265.13/x
  3. Step 3: Cross multiply
    19,615.88x = 40,265.13 × 40,265.13
  4. Step 4: Simplify right side
    19,615.88x = 1,621,280,291.27
  5. Step 5: Solve for x
    x = 1,621,280,291.27/19,615.88
  6. Step 6: Final answer
    x = 82,651.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.