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Finding the Third Proportional to 4,223.81 and 6,575.34

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Solution

The third proportional to 4,223.81 and 6,575.34 is: 10,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.81 : 6,575.34 = 6,575.34 : x
  2. Step 2: Convert to fraction form
    4,223.81/6,575.34 = 6,575.34/x
  3. Step 3: Cross multiply
    4,223.81x = 6,575.34 × 6,575.34
  4. Step 4: Simplify right side
    4,223.81x = 43,235,145.43
  5. Step 5: Solve for x
    x = 43,235,145.43/4,223.81
  6. Step 6: Final answer
    x = 10,236.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.