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Finding the Third Proportional to 4,806 and 11,631.94

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Solution

The third proportional to 4,806 and 11,631.94 is: 28,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806 : 11,631.94 = 11,631.94 : x
  2. Step 2: Convert to fraction form
    4,806/11,631.94 = 11,631.94/x
  3. Step 3: Cross multiply
    4,806x = 11,631.94 × 11,631.94
  4. Step 4: Simplify right side
    4,806x = 135,301,970.00
  5. Step 5: Solve for x
    x = 135,301,970.00/4,806
  6. Step 6: Final answer
    x = 28,152.72

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.