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Finding the Third Proportional to 19,894 and 26,923

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Solution

The third proportional to 19,894 and 26,923 is: 36,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894 : 26,923 = 26,923 : x
  2. Step 2: Convert to fraction form
    19,894/26,923 = 26,923/x
  3. Step 3: Cross multiply
    19,894x = 26,923 × 26,923
  4. Step 4: Simplify right side
    19,894x = 724,847,929
  5. Step 5: Solve for x
    x = 724,847,929/19,894
  6. Step 6: Final answer
    x = 36,435.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.