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Finding the Third Proportional to 4,176 and 5,640

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Solution

The third proportional to 4,176 and 5,640 is: 7,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176 : 5,640 = 5,640 : x
  2. Step 2: Convert to fraction form
    4,176/5,640 = 5,640/x
  3. Step 3: Cross multiply
    4,176x = 5,640 × 5,640
  4. Step 4: Simplify right side
    4,176x = 31,809,600
  5. Step 5: Solve for x
    x = 31,809,600/4,176
  6. Step 6: Final answer
    x = 7,617.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.