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Finding the Third Proportional to 13,015.69 and 21,406.78

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Solution

The third proportional to 13,015.69 and 21,406.78 is: 35,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.69 : 21,406.78 = 21,406.78 : x
  2. Step 2: Convert to fraction form
    13,015.69/21,406.78 = 21,406.78/x
  3. Step 3: Cross multiply
    13,015.69x = 21,406.78 × 21,406.78
  4. Step 4: Simplify right side
    13,015.69x = 458,250,283.49
  5. Step 5: Solve for x
    x = 458,250,283.49/13,015.69
  6. Step 6: Final answer
    x = 35,207.54

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.