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Finding the Third Proportional to 19,099.13 and 40,662

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Solution

The third proportional to 19,099.13 and 40,662 is: 86,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,099.13 : 40,662 = 40,662 : x
  2. Step 2: Convert to fraction form
    19,099.13/40,662 = 40,662/x
  3. Step 3: Cross multiply
    19,099.13x = 40,662 × 40,662
  4. Step 4: Simplify right side
    19,099.13x = 1,653,398,244
  5. Step 5: Solve for x
    x = 1,653,398,244/19,099.13
  6. Step 6: Final answer
    x = 86,569.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.