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Finding the Third Proportional to 5,685 and 12,420

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Solution

The third proportional to 5,685 and 12,420 is: 27,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685 : 12,420 = 12,420 : x
  2. Step 2: Convert to fraction form
    5,685/12,420 = 12,420/x
  3. Step 3: Cross multiply
    5,685x = 12,420 × 12,420
  4. Step 4: Simplify right side
    5,685x = 154,256,400
  5. Step 5: Solve for x
    x = 154,256,400/5,685
  6. Step 6: Final answer
    x = 27,133.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.