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Finding the Third Proportional to 4,661 and 7,153

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Solution

The third proportional to 4,661 and 7,153 is: 10,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661 : 7,153 = 7,153 : x
  2. Step 2: Convert to fraction form
    4,661/7,153 = 7,153/x
  3. Step 3: Cross multiply
    4,661x = 7,153 × 7,153
  4. Step 4: Simplify right side
    4,661x = 51,165,409
  5. Step 5: Solve for x
    x = 51,165,409/4,661
  6. Step 6: Final answer
    x = 10,977.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.