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Finding the Third Proportional to 30,597.75 and 49,740.75

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Solution

The third proportional to 30,597.75 and 49,740.75 is: 80,860.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.75 : 49,740.75 = 49,740.75 : x
  2. Step 2: Convert to fraction form
    30,597.75/49,740.75 = 49,740.75/x
  3. Step 3: Cross multiply
    30,597.75x = 49,740.75 × 49,740.75
  4. Step 4: Simplify right side
    30,597.75x = 2,474,142,210.56
  5. Step 5: Solve for x
    x = 2,474,142,210.56/30,597.75
  6. Step 6: Final answer
    x = 80,860.27

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.