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Finding the Third Proportional to 7,326 and 13,740.75

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Solution

The third proportional to 7,326 and 13,740.75 is: 25,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,326 : 13,740.75 = 13,740.75 : x
  2. Step 2: Convert to fraction form
    7,326/13,740.75 = 13,740.75/x
  3. Step 3: Cross multiply
    7,326x = 13,740.75 × 13,740.75
  4. Step 4: Simplify right side
    7,326x = 188,808,210.56
  5. Step 5: Solve for x
    x = 188,808,210.56/7,326
  6. Step 6: Final answer
    x = 25,772.35

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.