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Finding the Third Proportional to 12,484.13 and 19,865.25

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Solution

The third proportional to 12,484.13 and 19,865.25 is: 31,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,484.13 : 19,865.25 = 19,865.25 : x
  2. Step 2: Convert to fraction form
    12,484.13/19,865.25 = 19,865.25/x
  3. Step 3: Cross multiply
    12,484.13x = 19,865.25 × 19,865.25
  4. Step 4: Simplify right side
    12,484.13x = 394,628,157.56
  5. Step 5: Solve for x
    x = 394,628,157.56/12,484.13
  6. Step 6: Final answer
    x = 31,610.40

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.