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Finding the Third Proportional to 30,476.25 and 40,763.25

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Solution

The third proportional to 30,476.25 and 40,763.25 is: 54,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.25 : 40,763.25 = 40,763.25 : x
  2. Step 2: Convert to fraction form
    30,476.25/40,763.25 = 40,763.25/x
  3. Step 3: Cross multiply
    30,476.25x = 40,763.25 × 40,763.25
  4. Step 4: Simplify right side
    30,476.25x = 1,661,642,550.56
  5. Step 5: Solve for x
    x = 1,661,642,550.56/30,476.25
  6. Step 6: Final answer
    x = 54,522.54

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.