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Finding the Third Proportional to 14,811 and 19,570.50

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Solution

The third proportional to 14,811 and 19,570.50 is: 25,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811 : 19,570.50 = 19,570.50 : x
  2. Step 2: Convert to fraction form
    14,811/19,570.50 = 19,570.50/x
  3. Step 3: Cross multiply
    14,811x = 19,570.50 × 19,570.50
  4. Step 4: Simplify right side
    14,811x = 383,004,470.25
  5. Step 5: Solve for x
    x = 383,004,470.25/14,811
  6. Step 6: Final answer
    x = 25,859.46

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.