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Finding the Third Proportional to 19,382 and 39,584

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Solution

The third proportional to 19,382 and 39,584 is: 80,842.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,382 : 39,584 = 39,584 : x
  2. Step 2: Convert to fraction form
    19,382/39,584 = 39,584/x
  3. Step 3: Cross multiply
    19,382x = 39,584 × 39,584
  4. Step 4: Simplify right side
    19,382x = 1,566,893,056
  5. Step 5: Solve for x
    x = 1,566,893,056/19,382
  6. Step 6: Final answer
    x = 80,842.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.