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Finding the Third Proportional to 6,270.75 and 15,678.56

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Solution

The third proportional to 6,270.75 and 15,678.56 is: 39,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.75 : 15,678.56 = 15,678.56 : x
  2. Step 2: Convert to fraction form
    6,270.75/15,678.56 = 15,678.56/x
  3. Step 3: Cross multiply
    6,270.75x = 15,678.56 × 15,678.56
  4. Step 4: Simplify right side
    6,270.75x = 245,817,322.07
  5. Step 5: Solve for x
    x = 245,817,322.07/6,270.75
  6. Step 6: Final answer
    x = 39,200.63

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These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.