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Finding the Third Proportional to 9,994 and 16,579

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Solution

The third proportional to 9,994 and 16,579 is: 27,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994 : 16,579 = 16,579 : x
  2. Step 2: Convert to fraction form
    9,994/16,579 = 16,579/x
  3. Step 3: Cross multiply
    9,994x = 16,579 × 16,579
  4. Step 4: Simplify right side
    9,994x = 274,863,241
  5. Step 5: Solve for x
    x = 274,863,241/9,994
  6. Step 6: Final answer
    x = 27,502.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.