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Finding the Third Proportional to 5,801.63 and 12,848.63

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Solution

The third proportional to 5,801.63 and 12,848.63 is: 28,455.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.63 : 12,848.63 = 12,848.63 : x
  2. Step 2: Convert to fraction form
    5,801.63/12,848.63 = 12,848.63/x
  3. Step 3: Cross multiply
    5,801.63x = 12,848.63 × 12,848.63
  4. Step 4: Simplify right side
    5,801.63x = 165,087,164.39
  5. Step 5: Solve for x
    x = 165,087,164.39/5,801.63
  6. Step 6: Final answer
    x = 28,455.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.