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Finding the Third Proportional to 4,257 and 8,779

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Solution

The third proportional to 4,257 and 8,779 is: 18,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257 : 8,779 = 8,779 : x
  2. Step 2: Convert to fraction form
    4,257/8,779 = 8,779/x
  3. Step 3: Cross multiply
    4,257x = 8,779 × 8,779
  4. Step 4: Simplify right side
    4,257x = 77,070,841
  5. Step 5: Solve for x
    x = 77,070,841/4,257
  6. Step 6: Final answer
    x = 18,104.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.