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Finding the Third Proportional to 13,783.13 and 30,192.94

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Solution

The third proportional to 13,783.13 and 30,192.94 is: 66,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.13 : 30,192.94 = 30,192.94 : x
  2. Step 2: Convert to fraction form
    13,783.13/30,192.94 = 30,192.94/x
  3. Step 3: Cross multiply
    13,783.13x = 30,192.94 × 30,192.94
  4. Step 4: Simplify right side
    13,783.13x = 911,613,474.88
  5. Step 5: Solve for x
    x = 911,613,474.88/13,783.13
  6. Step 6: Final answer
    x = 66,139.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.