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Finding the Third Proportional to 5,780 and 8,946

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Solution

The third proportional to 5,780 and 8,946 is: 13,846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780 : 8,946 = 8,946 : x
  2. Step 2: Convert to fraction form
    5,780/8,946 = 8,946/x
  3. Step 3: Cross multiply
    5,780x = 8,946 × 8,946
  4. Step 4: Simplify right side
    5,780x = 80,030,916
  5. Step 5: Solve for x
    x = 80,030,916/5,780
  6. Step 6: Final answer
    x = 13,846.18

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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.