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Finding the Third Proportional to 5,891.63 and 12,821.48

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Solution

The third proportional to 5,891.63 and 12,821.48 is: 27,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.63 : 12,821.48 = 12,821.48 : x
  2. Step 2: Convert to fraction form
    5,891.63/12,821.48 = 12,821.48/x
  3. Step 3: Cross multiply
    5,891.63x = 12,821.48 × 12,821.48
  4. Step 4: Simplify right side
    5,891.63x = 164,390,461.58
  5. Step 5: Solve for x
    x = 164,390,461.58/5,891.63
  6. Step 6: Final answer
    x = 27,902.40

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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.