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Finding the Third Proportional to 20,811.94 and 45,514.41

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Solution

The third proportional to 20,811.94 and 45,514.41 is: 99,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,811.94 : 45,514.41 = 45,514.41 : x
  2. Step 2: Convert to fraction form
    20,811.94/45,514.41 = 45,514.41/x
  3. Step 3: Cross multiply
    20,811.94x = 45,514.41 × 45,514.41
  4. Step 4: Simplify right side
    20,811.94x = 2,071,561,176.29
  5. Step 5: Solve for x
    x = 2,071,561,176.29/20,811.94
  6. Step 6: Final answer
    x = 99,537.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.