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Finding the Third Proportional to 5,946 and 7,779

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Solution

The third proportional to 5,946 and 7,779 is: 10,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946 : 7,779 = 7,779 : x
  2. Step 2: Convert to fraction form
    5,946/7,779 = 7,779/x
  3. Step 3: Cross multiply
    5,946x = 7,779 × 7,779
  4. Step 4: Simplify right side
    5,946x = 60,512,841
  5. Step 5: Solve for x
    x = 60,512,841/5,946
  6. Step 6: Final answer
    x = 10,177.07

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.