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Finding the Third Proportional to 830 and 926

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Solution

The third proportional to 830 and 926 is: 1,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    830 : 926 = 926 : x
  2. Step 2: Convert to fraction form
    830/926 = 926/x
  3. Step 3: Cross multiply
    830x = 926 × 926
  4. Step 4: Simplify right side
    830x = 857,476
  5. Step 5: Solve for x
    x = 857,476/830
  6. Step 6: Final answer
    x = 1,033.10

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.