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Finding the Third Proportional to 4,658 and 6,573

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Solution

The third proportional to 4,658 and 6,573 is: 9,275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658 : 6,573 = 6,573 : x
  2. Step 2: Convert to fraction form
    4,658/6,573 = 6,573/x
  3. Step 3: Cross multiply
    4,658x = 6,573 × 6,573
  4. Step 4: Simplify right side
    4,658x = 43,204,329
  5. Step 5: Solve for x
    x = 43,204,329/4,658
  6. Step 6: Final answer
    x = 9,275.30

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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.