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Finding the Third Proportional to 4,868 and 7,562

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Solution

The third proportional to 4,868 and 7,562 is: 11,746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868 : 7,562 = 7,562 : x
  2. Step 2: Convert to fraction form
    4,868/7,562 = 7,562/x
  3. Step 3: Cross multiply
    4,868x = 7,562 × 7,562
  4. Step 4: Simplify right side
    4,868x = 57,183,844
  5. Step 5: Solve for x
    x = 57,183,844/4,868
  6. Step 6: Final answer
    x = 11,746.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.