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Finding the Third Proportional to 13,942.13 and 29,319.47

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Solution

The third proportional to 13,942.13 and 29,319.47 is: 61,657.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.13 : 29,319.47 = 29,319.47 : x
  2. Step 2: Convert to fraction form
    13,942.13/29,319.47 = 29,319.47/x
  3. Step 3: Cross multiply
    13,942.13x = 29,319.47 × 29,319.47
  4. Step 4: Simplify right side
    13,942.13x = 859,631,247.78
  5. Step 5: Solve for x
    x = 859,631,247.78/13,942.13
  6. Step 6: Final answer
    x = 61,657.12

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.