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Finding the Third Proportional to 5,930.88 and 12,835.75

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Solution

The third proportional to 5,930.88 and 12,835.75 is: 27,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.88 : 12,835.75 = 12,835.75 : x
  2. Step 2: Convert to fraction form
    5,930.88/12,835.75 = 12,835.75/x
  3. Step 3: Cross multiply
    5,930.88x = 12,835.75 × 12,835.75
  4. Step 4: Simplify right side
    5,930.88x = 164,756,478.06
  5. Step 5: Solve for x
    x = 164,756,478.06/5,930.88
  6. Step 6: Final answer
    x = 27,779.46

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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.