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Finding the Third Proportional to 20,235.66 and 31,674.38

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Solution

The third proportional to 20,235.66 and 31,674.38 is: 49,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,235.66 : 31,674.38 = 31,674.38 : x
  2. Step 2: Convert to fraction form
    20,235.66/31,674.38 = 31,674.38/x
  3. Step 3: Cross multiply
    20,235.66x = 31,674.38 × 31,674.38
  4. Step 4: Simplify right side
    20,235.66x = 1,003,266,031.64
  5. Step 5: Solve for x
    x = 1,003,266,031.64/20,235.66
  6. Step 6: Final answer
    x = 49,579.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.