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Finding the Third Proportional to 19,234 and 41,429

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Solution

The third proportional to 19,234 and 41,429 is: 89,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,234 : 41,429 = 41,429 : x
  2. Step 2: Convert to fraction form
    19,234/41,429 = 41,429/x
  3. Step 3: Cross multiply
    19,234x = 41,429 × 41,429
  4. Step 4: Simplify right side
    19,234x = 1,716,362,041
  5. Step 5: Solve for x
    x = 1,716,362,041/19,234
  6. Step 6: Final answer
    x = 89,235.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.