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Finding the Third Proportional to 19,400.63 and 30,771.56

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Solution

The third proportional to 19,400.63 and 30,771.56 is: 48,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,400.63 : 30,771.56 = 30,771.56 : x
  2. Step 2: Convert to fraction form
    19,400.63/30,771.56 = 30,771.56/x
  3. Step 3: Cross multiply
    19,400.63x = 30,771.56 × 30,771.56
  4. Step 4: Simplify right side
    19,400.63x = 946,889,058.69
  5. Step 5: Solve for x
    x = 946,889,058.69/19,400.63
  6. Step 6: Final answer
    x = 48,807.14

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.