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Finding the Third Proportional to 13,133.34 and 19,713.52

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Solution

The third proportional to 13,133.34 and 19,713.52 is: 29,590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.34 : 19,713.52 = 19,713.52 : x
  2. Step 2: Convert to fraction form
    13,133.34/19,713.52 = 19,713.52/x
  3. Step 3: Cross multiply
    13,133.34x = 19,713.52 × 19,713.52
  4. Step 4: Simplify right side
    13,133.34x = 388,622,698.30
  5. Step 5: Solve for x
    x = 388,622,698.30/13,133.34
  6. Step 6: Final answer
    x = 29,590.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.