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Finding the Third Proportional to 8,574.19 and 16,723.13

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Solution

The third proportional to 8,574.19 and 16,723.13 is: 32,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.19 : 16,723.13 = 16,723.13 : x
  2. Step 2: Convert to fraction form
    8,574.19/16,723.13 = 16,723.13/x
  3. Step 3: Cross multiply
    8,574.19x = 16,723.13 × 16,723.13
  4. Step 4: Simplify right side
    8,574.19x = 279,662,909.77
  5. Step 5: Solve for x
    x = 279,662,909.77/8,574.19
  6. Step 6: Final answer
    x = 32,616.84

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.