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Finding the Third Proportional to 6,559 and 12,779

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Solution

The third proportional to 6,559 and 12,779 is: 24,897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559 : 12,779 = 12,779 : x
  2. Step 2: Convert to fraction form
    6,559/12,779 = 12,779/x
  3. Step 3: Cross multiply
    6,559x = 12,779 × 12,779
  4. Step 4: Simplify right side
    6,559x = 163,302,841
  5. Step 5: Solve for x
    x = 163,302,841/6,559
  6. Step 6: Final answer
    x = 24,897.52

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.