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Finding the Third Proportional to 13,904 and 30,576

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Solution

The third proportional to 13,904 and 30,576 is: 67,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,904 : 30,576 = 30,576 : x
  2. Step 2: Convert to fraction form
    13,904/30,576 = 30,576/x
  3. Step 3: Cross multiply
    13,904x = 30,576 × 30,576
  4. Step 4: Simplify right side
    13,904x = 934,891,776
  5. Step 5: Solve for x
    x = 934,891,776/13,904
  6. Step 6: Final answer
    x = 67,239.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.