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Finding the Third Proportional to 4,303.69 and 5,671.69

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Solution

The third proportional to 4,303.69 and 5,671.69 is: 7,474.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.69 : 5,671.69 = 5,671.69 : x
  2. Step 2: Convert to fraction form
    4,303.69/5,671.69 = 5,671.69/x
  3. Step 3: Cross multiply
    4,303.69x = 5,671.69 × 5,671.69
  4. Step 4: Simplify right side
    4,303.69x = 32,168,039.10
  5. Step 5: Solve for x
    x = 32,168,039.10/4,303.69
  6. Step 6: Final answer
    x = 7,474.53

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.