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Finding the Third Proportional to 19,182.75 and 29,442.75

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Solution

The third proportional to 19,182.75 and 29,442.75 is: 45,190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,182.75 : 29,442.75 = 29,442.75 : x
  2. Step 2: Convert to fraction form
    19,182.75/29,442.75 = 29,442.75/x
  3. Step 3: Cross multiply
    19,182.75x = 29,442.75 × 29,442.75
  4. Step 4: Simplify right side
    19,182.75x = 866,875,527.56
  5. Step 5: Solve for x
    x = 866,875,527.56/19,182.75
  6. Step 6: Final answer
    x = 45,190.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.