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Finding the Third Proportional to 6,458 and 9,083

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Solution

The third proportional to 6,458 and 9,083 is: 12,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458 : 9,083 = 9,083 : x
  2. Step 2: Convert to fraction form
    6,458/9,083 = 9,083/x
  3. Step 3: Cross multiply
    6,458x = 9,083 × 9,083
  4. Step 4: Simplify right side
    6,458x = 82,500,889
  5. Step 5: Solve for x
    x = 82,500,889/6,458
  6. Step 6: Final answer
    x = 12,774.99

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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.