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Finding the Third Proportional to 19,046 and 40,927

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Solution

The third proportional to 19,046 and 40,927 is: 87,945.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,046 : 40,927 = 40,927 : x
  2. Step 2: Convert to fraction form
    19,046/40,927 = 40,927/x
  3. Step 3: Cross multiply
    19,046x = 40,927 × 40,927
  4. Step 4: Simplify right side
    19,046x = 1,675,019,329
  5. Step 5: Solve for x
    x = 1,675,019,329/19,046
  6. Step 6: Final answer
    x = 87,945.99

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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.