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Finding the Third Proportional to 22,143 and 47,804

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Solution

The third proportional to 22,143 and 47,804 is: 103,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,143 : 47,804 = 47,804 : x
  2. Step 2: Convert to fraction form
    22,143/47,804 = 47,804/x
  3. Step 3: Cross multiply
    22,143x = 47,804 × 47,804
  4. Step 4: Simplify right side
    22,143x = 2,285,222,416
  5. Step 5: Solve for x
    x = 2,285,222,416/22,143
  6. Step 6: Final answer
    x = 103,202.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.