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Finding the Third Proportional to 19,277 and 39,706

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Solution

The third proportional to 19,277 and 39,706 is: 81,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,277 : 39,706 = 39,706 : x
  2. Step 2: Convert to fraction form
    19,277/39,706 = 39,706/x
  3. Step 3: Cross multiply
    19,277x = 39,706 × 39,706
  4. Step 4: Simplify right side
    19,277x = 1,576,566,436
  5. Step 5: Solve for x
    x = 1,576,566,436/19,277
  6. Step 6: Final answer
    x = 81,784.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.