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Finding the Third Proportional to 4,336.03 and 5,643.42

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Solution

The third proportional to 4,336.03 and 5,643.42 is: 7,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.03 : 5,643.42 = 5,643.42 : x
  2. Step 2: Convert to fraction form
    4,336.03/5,643.42 = 5,643.42/x
  3. Step 3: Cross multiply
    4,336.03x = 5,643.42 × 5,643.42
  4. Step 4: Simplify right side
    4,336.03x = 31,848,210.46
  5. Step 5: Solve for x
    x = 31,848,210.46/4,336.03
  6. Step 6: Final answer
    x = 7,345.01

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.