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Finding the Third Proportional to 16,043 and 33,102

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Solution

The third proportional to 16,043 and 33,102 is: 68,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043 : 33,102 = 33,102 : x
  2. Step 2: Convert to fraction form
    16,043/33,102 = 33,102/x
  3. Step 3: Cross multiply
    16,043x = 33,102 × 33,102
  4. Step 4: Simplify right side
    16,043x = 1,095,742,404
  5. Step 5: Solve for x
    x = 1,095,742,404/16,043
  6. Step 6: Final answer
    x = 68,300.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.