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Finding the Third Proportional to 4,635.98 and 6,959.67

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Solution

The third proportional to 4,635.98 and 6,959.67 is: 10,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.98 : 6,959.67 = 6,959.67 : x
  2. Step 2: Convert to fraction form
    4,635.98/6,959.67 = 6,959.67/x
  3. Step 3: Cross multiply
    4,635.98x = 6,959.67 × 6,959.67
  4. Step 4: Simplify right side
    4,635.98x = 48,437,032.61
  5. Step 5: Solve for x
    x = 48,437,032.61/4,635.98
  6. Step 6: Final answer
    x = 10,448.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.