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Finding the Third Proportional to 6,830 and 10,316

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Solution

The third proportional to 6,830 and 10,316 is: 15,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830 : 10,316 = 10,316 : x
  2. Step 2: Convert to fraction form
    6,830/10,316 = 10,316/x
  3. Step 3: Cross multiply
    6,830x = 10,316 × 10,316
  4. Step 4: Simplify right side
    6,830x = 106,419,856
  5. Step 5: Solve for x
    x = 106,419,856/6,830
  6. Step 6: Final answer
    x = 15,581.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.