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Finding the Third Proportional to 19,406.53 and 41,786.16

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Solution

The third proportional to 19,406.53 and 41,786.16 is: 89,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,406.53 : 41,786.16 = 41,786.16 : x
  2. Step 2: Convert to fraction form
    19,406.53/41,786.16 = 41,786.16/x
  3. Step 3: Cross multiply
    19,406.53x = 41,786.16 × 41,786.16
  4. Step 4: Simplify right side
    19,406.53x = 1,746,082,854.15
  5. Step 5: Solve for x
    x = 1,746,082,854.15/19,406.53
  6. Step 6: Final answer
    x = 89,973.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.