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Finding the Third Proportional to 13,015.69 and 29,729.53

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Solution

The third proportional to 13,015.69 and 29,729.53 is: 67,906.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.69 : 29,729.53 = 29,729.53 : x
  2. Step 2: Convert to fraction form
    13,015.69/29,729.53 = 29,729.53/x
  3. Step 3: Cross multiply
    13,015.69x = 29,729.53 × 29,729.53
  4. Step 4: Simplify right side
    13,015.69x = 883,845,028.34
  5. Step 5: Solve for x
    x = 883,845,028.34/13,015.69
  6. Step 6: Final answer
    x = 67,906.13

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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.