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Finding the Third Proportional to 4,160 and 5,296

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Solution

The third proportional to 4,160 and 5,296 is: 6,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160 : 5,296 = 5,296 : x
  2. Step 2: Convert to fraction form
    4,160/5,296 = 5,296/x
  3. Step 3: Cross multiply
    4,160x = 5,296 × 5,296
  4. Step 4: Simplify right side
    4,160x = 28,047,616
  5. Step 5: Solve for x
    x = 28,047,616/4,160
  6. Step 6: Final answer
    x = 6,742.22

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.