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Finding the Third Proportional to 14,994 and 35,811

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Solution

The third proportional to 14,994 and 35,811 is: 85,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,994 : 35,811 = 35,811 : x
  2. Step 2: Convert to fraction form
    14,994/35,811 = 35,811/x
  3. Step 3: Cross multiply
    14,994x = 35,811 × 35,811
  4. Step 4: Simplify right side
    14,994x = 1,282,427,721
  5. Step 5: Solve for x
    x = 1,282,427,721/14,994
  6. Step 6: Final answer
    x = 85,529.39

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.