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Finding the Third Proportional to 4,160 and 6,360

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Solution

The third proportional to 4,160 and 6,360 is: 9,723.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160 : 6,360 = 6,360 : x
  2. Step 2: Convert to fraction form
    4,160/6,360 = 6,360/x
  3. Step 3: Cross multiply
    4,160x = 6,360 × 6,360
  4. Step 4: Simplify right side
    4,160x = 40,449,600
  5. Step 5: Solve for x
    x = 40,449,600/4,160
  6. Step 6: Final answer
    x = 9,723.46

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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.