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Finding the Third Proportional to 19,382 and 28,293

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Solution

The third proportional to 19,382 and 28,293 is: 41,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,382 : 28,293 = 28,293 : x
  2. Step 2: Convert to fraction form
    19,382/28,293 = 28,293/x
  3. Step 3: Cross multiply
    19,382x = 28,293 × 28,293
  4. Step 4: Simplify right side
    19,382x = 800,493,849
  5. Step 5: Solve for x
    x = 800,493,849/19,382
  6. Step 6: Final answer
    x = 41,300.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.