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Finding the Third Proportional to 7,066 and 19,170

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Solution

The third proportional to 7,066 and 19,170 is: 52,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066 : 19,170 = 19,170 : x
  2. Step 2: Convert to fraction form
    7,066/19,170 = 19,170/x
  3. Step 3: Cross multiply
    7,066x = 19,170 × 19,170
  4. Step 4: Simplify right side
    7,066x = 367,488,900
  5. Step 5: Solve for x
    x = 367,488,900/7,066
  6. Step 6: Final answer
    x = 52,008.05

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.