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Finding the Third Proportional to 4,734.75 and 6,931.13

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Solution

The third proportional to 4,734.75 and 6,931.13 is: 10,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.75 : 6,931.13 = 6,931.13 : x
  2. Step 2: Convert to fraction form
    4,734.75/6,931.13 = 6,931.13/x
  3. Step 3: Cross multiply
    4,734.75x = 6,931.13 × 6,931.13
  4. Step 4: Simplify right side
    4,734.75x = 48,040,493.77
  5. Step 5: Solve for x
    x = 48,040,493.77/4,734.75
  6. Step 6: Final answer
    x = 10,146.36

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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.