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Finding the Third Proportional to 19,141 and 41,050

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Solution

The third proportional to 19,141 and 41,050 is: 88,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,141 : 41,050 = 41,050 : x
  2. Step 2: Convert to fraction form
    19,141/41,050 = 41,050/x
  3. Step 3: Cross multiply
    19,141x = 41,050 × 41,050
  4. Step 4: Simplify right side
    19,141x = 1,685,102,500
  5. Step 5: Solve for x
    x = 1,685,102,500/19,141
  6. Step 6: Final answer
    x = 88,036.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.