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Finding the Third Proportional to 22,102 and 33,804

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Solution

The third proportional to 22,102 and 33,804 is: 51,701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102 : 33,804 = 33,804 : x
  2. Step 2: Convert to fraction form
    22,102/33,804 = 33,804/x
  3. Step 3: Cross multiply
    22,102x = 33,804 × 33,804
  4. Step 4: Simplify right side
    22,102x = 1,142,710,416
  5. Step 5: Solve for x
    x = 1,142,710,416/22,102
  6. Step 6: Final answer
    x = 51,701.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.