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Finding the Third Proportional to 22,036 and 33,102

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Solution

The third proportional to 22,036 and 33,102 is: 49,725.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,036 : 33,102 = 33,102 : x
  2. Step 2: Convert to fraction form
    22,036/33,102 = 33,102/x
  3. Step 3: Cross multiply
    22,036x = 33,102 × 33,102
  4. Step 4: Simplify right side
    22,036x = 1,095,742,404
  5. Step 5: Solve for x
    x = 1,095,742,404/22,036
  6. Step 6: Final answer
    x = 49,725.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.