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Finding the Third Proportional to 5,770 and 6,620

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Solution

The third proportional to 5,770 and 6,620 is: 7,595.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770 : 6,620 = 6,620 : x
  2. Step 2: Convert to fraction form
    5,770/6,620 = 6,620/x
  3. Step 3: Cross multiply
    5,770x = 6,620 × 6,620
  4. Step 4: Simplify right side
    5,770x = 43,824,400
  5. Step 5: Solve for x
    x = 43,824,400/5,770
  6. Step 6: Final answer
    x = 7,595.22

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.