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Finding the Third Proportional to 3,830.63 and 5,596.88

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Solution

The third proportional to 3,830.63 and 5,596.88 is: 8,177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.63 : 5,596.88 = 5,596.88 : x
  2. Step 2: Convert to fraction form
    3,830.63/5,596.88 = 5,596.88/x
  3. Step 3: Cross multiply
    3,830.63x = 5,596.88 × 5,596.88
  4. Step 4: Simplify right side
    3,830.63x = 31,325,009.77
  5. Step 5: Solve for x
    x = 31,325,009.77/3,830.63
  6. Step 6: Final answer
    x = 8,177.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.