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Finding the Third Proportional to 4,215.94 and 6,300.56

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Solution

The third proportional to 4,215.94 and 6,300.56 is: 9,415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.94 : 6,300.56 = 6,300.56 : x
  2. Step 2: Convert to fraction form
    4,215.94/6,300.56 = 6,300.56/x
  3. Step 3: Cross multiply
    4,215.94x = 6,300.56 × 6,300.56
  4. Step 4: Simplify right side
    4,215.94x = 39,697,087.82
  5. Step 5: Solve for x
    x = 39,697,087.82/4,215.94
  6. Step 6: Final answer
    x = 9,415.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.