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Finding the Third Proportional to 12,610.69 and 19,781.72

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Solution

The third proportional to 12,610.69 and 19,781.72 is: 31,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,610.69 : 19,781.72 = 19,781.72 : x
  2. Step 2: Convert to fraction form
    12,610.69/19,781.72 = 19,781.72/x
  3. Step 3: Cross multiply
    12,610.69x = 19,781.72 × 19,781.72
  4. Step 4: Simplify right side
    12,610.69x = 391,316,396.70
  5. Step 5: Solve for x
    x = 391,316,396.70/12,610.69
  6. Step 6: Final answer
    x = 31,030.54

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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.