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Finding the Third Proportional to 12,614.48 and 19,790.89

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Solution

The third proportional to 12,614.48 and 19,790.89 is: 31,049.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.48 : 19,790.89 = 19,790.89 : x
  2. Step 2: Convert to fraction form
    12,614.48/19,790.89 = 19,790.89/x
  3. Step 3: Cross multiply
    12,614.48x = 19,790.89 × 19,790.89
  4. Step 4: Simplify right side
    12,614.48x = 391,679,506.35
  5. Step 5: Solve for x
    x = 391,679,506.35/12,614.48
  6. Step 6: Final answer
    x = 31,049.98

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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.