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Finding the Third Proportional to 4,751 and 6,989.25

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Solution

The third proportional to 4,751 and 6,989.25 is: 10,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751 : 6,989.25 = 6,989.25 : x
  2. Step 2: Convert to fraction form
    4,751/6,989.25 = 6,989.25/x
  3. Step 3: Cross multiply
    4,751x = 6,989.25 × 6,989.25
  4. Step 4: Simplify right side
    4,751x = 48,849,615.56
  5. Step 5: Solve for x
    x = 48,849,615.56/4,751
  6. Step 6: Final answer
    x = 10,281.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.