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Finding the Third Proportional to 30,732 and 49,290

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Solution

The third proportional to 30,732 and 49,290 is: 79,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732 : 49,290 = 49,290 : x
  2. Step 2: Convert to fraction form
    30,732/49,290 = 49,290/x
  3. Step 3: Cross multiply
    30,732x = 49,290 × 49,290
  4. Step 4: Simplify right side
    30,732x = 2,429,504,100
  5. Step 5: Solve for x
    x = 2,429,504,100/30,732
  6. Step 6: Final answer
    x = 79,054.54

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.