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Finding the Third Proportional to 9,743 and 13,786

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Solution

The third proportional to 9,743 and 13,786 is: 19,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743 : 13,786 = 13,786 : x
  2. Step 2: Convert to fraction form
    9,743/13,786 = 13,786/x
  3. Step 3: Cross multiply
    9,743x = 13,786 × 13,786
  4. Step 4: Simplify right side
    9,743x = 190,053,796
  5. Step 5: Solve for x
    x = 190,053,796/9,743
  6. Step 6: Final answer
    x = 19,506.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.