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Finding the Third Proportional to 14,184 and 30,822.75

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Solution

The third proportional to 14,184 and 30,822.75 is: 66,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184 : 30,822.75 = 30,822.75 : x
  2. Step 2: Convert to fraction form
    14,184/30,822.75 = 30,822.75/x
  3. Step 3: Cross multiply
    14,184x = 30,822.75 × 30,822.75
  4. Step 4: Simplify right side
    14,184x = 950,041,917.56
  5. Step 5: Solve for x
    x = 950,041,917.56/14,184
  6. Step 6: Final answer
    x = 66,979.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.