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Finding the Third Proportional to 12,782 and 19,639

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Solution

The third proportional to 12,782 and 19,639 is: 30,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782 : 19,639 = 19,639 : x
  2. Step 2: Convert to fraction form
    12,782/19,639 = 19,639/x
  3. Step 3: Cross multiply
    12,782x = 19,639 × 19,639
  4. Step 4: Simplify right side
    12,782x = 385,690,321
  5. Step 5: Solve for x
    x = 385,690,321/12,782
  6. Step 6: Final answer
    x = 30,174.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.