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Finding the Third Proportional to 13,431.15 and 29,194.53

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Solution

The third proportional to 13,431.15 and 29,194.53 is: 63,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.15 : 29,194.53 = 29,194.53 : x
  2. Step 2: Convert to fraction form
    13,431.15/29,194.53 = 29,194.53/x
  3. Step 3: Cross multiply
    13,431.15x = 29,194.53 × 29,194.53
  4. Step 4: Simplify right side
    13,431.15x = 852,320,455.34
  5. Step 5: Solve for x
    x = 852,320,455.34/13,431.15
  6. Step 6: Final answer
    x = 63,458.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.