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Finding the Third Proportional to 13,969.34 and 30,303.98

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Solution

The third proportional to 13,969.34 and 30,303.98 is: 65,739.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.34 : 30,303.98 = 30,303.98 : x
  2. Step 2: Convert to fraction form
    13,969.34/30,303.98 = 30,303.98/x
  3. Step 3: Cross multiply
    13,969.34x = 30,303.98 × 30,303.98
  4. Step 4: Simplify right side
    13,969.34x = 918,331,469.00
  5. Step 5: Solve for x
    x = 918,331,469.00/13,969.34
  6. Step 6: Final answer
    x = 65,739.09

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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.