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Finding the Third Proportional to 19,782 and 30,172

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Solution

The third proportional to 19,782 and 30,172 is: 46,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782 : 30,172 = 30,172 : x
  2. Step 2: Convert to fraction form
    19,782/30,172 = 30,172/x
  3. Step 3: Cross multiply
    19,782x = 30,172 × 30,172
  4. Step 4: Simplify right side
    19,782x = 910,349,584
  5. Step 5: Solve for x
    x = 910,349,584/19,782
  6. Step 6: Final answer
    x = 46,019.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.