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Finding the Third Proportional to 12,706 and 19,751

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Solution

The third proportional to 12,706 and 19,751 is: 30,702.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706 : 19,751 = 19,751 : x
  2. Step 2: Convert to fraction form
    12,706/19,751 = 19,751/x
  3. Step 3: Cross multiply
    12,706x = 19,751 × 19,751
  4. Step 4: Simplify right side
    12,706x = 390,102,001
  5. Step 5: Solve for x
    x = 390,102,001/12,706
  6. Step 6: Final answer
    x = 30,702.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.