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Finding the Third Proportional to 12,764 and 19,986

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Solution

The third proportional to 12,764 and 19,986 is: 31,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764 : 19,986 = 19,986 : x
  2. Step 2: Convert to fraction form
    12,764/19,986 = 19,986/x
  3. Step 3: Cross multiply
    12,764x = 19,986 × 19,986
  4. Step 4: Simplify right side
    12,764x = 399,440,196
  5. Step 5: Solve for x
    x = 399,440,196/12,764
  6. Step 6: Final answer
    x = 31,294.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.