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Finding the Third Proportional to 19,496.53 and 31,389.19

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Solution

The third proportional to 19,496.53 and 31,389.19 is: 50,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,496.53 : 31,389.19 = 31,389.19 : x
  2. Step 2: Convert to fraction form
    19,496.53/31,389.19 = 31,389.19/x
  3. Step 3: Cross multiply
    19,496.53x = 31,389.19 × 31,389.19
  4. Step 4: Simplify right side
    19,496.53x = 985,281,091.91
  5. Step 5: Solve for x
    x = 985,281,091.91/19,496.53
  6. Step 6: Final answer
    x = 50,536.23

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.