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Finding the Third Proportional to 14,131.97 and 30,561.05

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Solution

The third proportional to 14,131.97 and 30,561.05 is: 66,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.97 : 30,561.05 = 30,561.05 : x
  2. Step 2: Convert to fraction form
    14,131.97/30,561.05 = 30,561.05/x
  3. Step 3: Cross multiply
    14,131.97x = 30,561.05 × 30,561.05
  4. Step 4: Simplify right side
    14,131.97x = 933,977,586.10
  5. Step 5: Solve for x
    x = 933,977,586.10/14,131.97
  6. Step 6: Final answer
    x = 66,089.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.