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Finding the Third Proportional to 6,442.03 and 7,364.67

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Solution

The third proportional to 6,442.03 and 7,364.67 is: 8,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.03 : 7,364.67 = 7,364.67 : x
  2. Step 2: Convert to fraction form
    6,442.03/7,364.67 = 7,364.67/x
  3. Step 3: Cross multiply
    6,442.03x = 7,364.67 × 7,364.67
  4. Step 4: Simplify right side
    6,442.03x = 54,238,391.83
  5. Step 5: Solve for x
    x = 54,238,391.83/6,442.03
  6. Step 6: Final answer
    x = 8,419.45

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.