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Finding the Third Proportional to 3,130 and 5,834

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Solution

The third proportional to 3,130 and 5,834 is: 10,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130 : 5,834 = 5,834 : x
  2. Step 2: Convert to fraction form
    3,130/5,834 = 5,834/x
  3. Step 3: Cross multiply
    3,130x = 5,834 × 5,834
  4. Step 4: Simplify right side
    3,130x = 34,035,556
  5. Step 5: Solve for x
    x = 34,035,556/3,130
  6. Step 6: Final answer
    x = 10,873.98

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.