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Finding the Third Proportional to 4,761.28 and 6,959.67

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Solution

The third proportional to 4,761.28 and 6,959.67 is: 10,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.28 : 6,959.67 = 6,959.67 : x
  2. Step 2: Convert to fraction form
    4,761.28/6,959.67 = 6,959.67/x
  3. Step 3: Cross multiply
    4,761.28x = 6,959.67 × 6,959.67
  4. Step 4: Simplify right side
    4,761.28x = 48,437,032.61
  5. Step 5: Solve for x
    x = 48,437,032.61/4,761.28
  6. Step 6: Final answer
    x = 10,173.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.