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Finding the Third Proportional to 4,506 and 6,856

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Solution

The third proportional to 4,506 and 6,856 is: 10,431.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506 : 6,856 = 6,856 : x
  2. Step 2: Convert to fraction form
    4,506/6,856 = 6,856/x
  3. Step 3: Cross multiply
    4,506x = 6,856 × 6,856
  4. Step 4: Simplify right side
    4,506x = 47,004,736
  5. Step 5: Solve for x
    x = 47,004,736/4,506
  6. Step 6: Final answer
    x = 10,431.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.