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Finding the Third Proportional to 13,597.25 and 21,011.25

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Solution

The third proportional to 13,597.25 and 21,011.25 is: 32,467.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.25 : 21,011.25 = 21,011.25 : x
  2. Step 2: Convert to fraction form
    13,597.25/21,011.25 = 21,011.25/x
  3. Step 3: Cross multiply
    13,597.25x = 21,011.25 × 21,011.25
  4. Step 4: Simplify right side
    13,597.25x = 441,472,626.56
  5. Step 5: Solve for x
    x = 441,472,626.56/13,597.25
  6. Step 6: Final answer
    x = 32,467.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.