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Finding the Third Proportional to 30,504.75 and 46,344.75

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Solution

The third proportional to 30,504.75 and 46,344.75 is: 70,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,504.75 : 46,344.75 = 46,344.75 : x
  2. Step 2: Convert to fraction form
    30,504.75/46,344.75 = 46,344.75/x
  3. Step 3: Cross multiply
    30,504.75x = 46,344.75 × 46,344.75
  4. Step 4: Simplify right side
    30,504.75x = 2,147,835,852.56
  5. Step 5: Solve for x
    x = 2,147,835,852.56/30,504.75
  6. Step 6: Final answer
    x = 70,409.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.