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Finding the Third Proportional to 5,780 and 8,968

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Solution

The third proportional to 5,780 and 8,968 is: 13,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780 : 8,968 = 8,968 : x
  2. Step 2: Convert to fraction form
    5,780/8,968 = 8,968/x
  3. Step 3: Cross multiply
    5,780x = 8,968 × 8,968
  4. Step 4: Simplify right side
    5,780x = 80,425,024
  5. Step 5: Solve for x
    x = 80,425,024/5,780
  6. Step 6: Final answer
    x = 13,914.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.