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Finding the Third Proportional to 19,823.80 and 41,593.66

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Solution

The third proportional to 19,823.80 and 41,593.66 is: 87,270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.80 : 41,593.66 = 41,593.66 : x
  2. Step 2: Convert to fraction form
    19,823.80/41,593.66 = 41,593.66/x
  3. Step 3: Cross multiply
    19,823.80x = 41,593.66 × 41,593.66
  4. Step 4: Simplify right side
    19,823.80x = 1,730,032,402.72
  5. Step 5: Solve for x
    x = 1,730,032,402.72/19,823.80
  6. Step 6: Final answer
    x = 87,270.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.