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Finding the Third Proportional to 4,749 and 6,951.75

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Solution

The third proportional to 4,749 and 6,951.75 is: 10,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749 : 6,951.75 = 6,951.75 : x
  2. Step 2: Convert to fraction form
    4,749/6,951.75 = 6,951.75/x
  3. Step 3: Cross multiply
    4,749x = 6,951.75 × 6,951.75
  4. Step 4: Simplify right side
    4,749x = 48,326,828.06
  5. Step 5: Solve for x
    x = 48,326,828.06/4,749
  6. Step 6: Final answer
    x = 10,176.21

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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.