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Finding the Third Proportional to 19,135.13 and 40,586.63

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Solution

The third proportional to 19,135.13 and 40,586.63 is: 86,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,135.13 : 40,586.63 = 40,586.63 : x
  2. Step 2: Convert to fraction form
    19,135.13/40,586.63 = 40,586.63/x
  3. Step 3: Cross multiply
    19,135.13x = 40,586.63 × 40,586.63
  4. Step 4: Simplify right side
    19,135.13x = 1,647,274,128.89
  5. Step 5: Solve for x
    x = 1,647,274,128.89/19,135.13
  6. Step 6: Final answer
    x = 86,086.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.