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Finding the Third Proportional to 13,399.88 and 19,698.56

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Solution

The third proportional to 13,399.88 and 19,698.56 is: 28,957.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,399.88 : 19,698.56 = 19,698.56 : x
  2. Step 2: Convert to fraction form
    13,399.88/19,698.56 = 19,698.56/x
  3. Step 3: Cross multiply
    13,399.88x = 19,698.56 × 19,698.56
  4. Step 4: Simplify right side
    13,399.88x = 388,033,364.57
  5. Step 5: Solve for x
    x = 388,033,364.57/13,399.88
  6. Step 6: Final answer
    x = 28,957.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.