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Finding the Third Proportional to 5,854 and 12,836

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Solution

The third proportional to 5,854 and 12,836 is: 28,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854 : 12,836 = 12,836 : x
  2. Step 2: Convert to fraction form
    5,854/12,836 = 12,836/x
  3. Step 3: Cross multiply
    5,854x = 12,836 × 12,836
  4. Step 4: Simplify right side
    5,854x = 164,762,896
  5. Step 5: Solve for x
    x = 164,762,896/5,854
  6. Step 6: Final answer
    x = 28,145.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.