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Finding the Third Proportional to 2,235.94 and 4,827.94

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Solution

The third proportional to 2,235.94 and 4,827.94 is: 10,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.94 : 4,827.94 = 4,827.94 : x
  2. Step 2: Convert to fraction form
    2,235.94/4,827.94 = 4,827.94/x
  3. Step 3: Cross multiply
    2,235.94x = 4,827.94 × 4,827.94
  4. Step 4: Simplify right side
    2,235.94x = 23,308,980.50
  5. Step 5: Solve for x
    x = 23,308,980.50/2,235.94
  6. Step 6: Final answer
    x = 10,424.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.