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Finding the Third Proportional to 7,860 and 17,770

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Solution

The third proportional to 7,860 and 17,770 is: 40,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860 : 17,770 = 17,770 : x
  2. Step 2: Convert to fraction form
    7,860/17,770 = 17,770/x
  3. Step 3: Cross multiply
    7,860x = 17,770 × 17,770
  4. Step 4: Simplify right side
    7,860x = 315,772,900
  5. Step 5: Solve for x
    x = 315,772,900/7,860
  6. Step 6: Final answer
    x = 40,174.67

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.