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Finding the Third Proportional to 19,784 and 26,850

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Solution

The third proportional to 19,784 and 26,850 is: 36,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784 : 26,850 = 26,850 : x
  2. Step 2: Convert to fraction form
    19,784/26,850 = 26,850/x
  3. Step 3: Cross multiply
    19,784x = 26,850 × 26,850
  4. Step 4: Simplify right side
    19,784x = 720,922,500
  5. Step 5: Solve for x
    x = 720,922,500/19,784
  6. Step 6: Final answer
    x = 36,439.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.