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Finding the Third Proportional to 6,102 and 9,420

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Solution

The third proportional to 6,102 and 9,420 is: 14,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102 : 9,420 = 9,420 : x
  2. Step 2: Convert to fraction form
    6,102/9,420 = 9,420/x
  3. Step 3: Cross multiply
    6,102x = 9,420 × 9,420
  4. Step 4: Simplify right side
    6,102x = 88,736,400
  5. Step 5: Solve for x
    x = 88,736,400/6,102
  6. Step 6: Final answer
    x = 14,542.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.