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Finding the Third Proportional to 1,719.56 and 2,670.47

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Solution

The third proportional to 1,719.56 and 2,670.47 is: 4,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.56 : 2,670.47 = 2,670.47 : x
  2. Step 2: Convert to fraction form
    1,719.56/2,670.47 = 2,670.47/x
  3. Step 3: Cross multiply
    1,719.56x = 2,670.47 × 2,670.47
  4. Step 4: Simplify right side
    1,719.56x = 7,131,403.34
  5. Step 5: Solve for x
    x = 7,131,403.34/1,719.56
  6. Step 6: Final answer
    x = 4,147.22

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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.