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Finding the Third Proportional to 4,203 and 6,357.38

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Solution

The third proportional to 4,203 and 6,357.38 is: 9,616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203 : 6,357.38 = 6,357.38 : x
  2. Step 2: Convert to fraction form
    4,203/6,357.38 = 6,357.38/x
  3. Step 3: Cross multiply
    4,203x = 6,357.38 × 6,357.38
  4. Step 4: Simplify right side
    4,203x = 40,416,216.89
  5. Step 5: Solve for x
    x = 40,416,216.89/4,203
  6. Step 6: Final answer
    x = 9,616.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.