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Finding the Third Proportional to 5,345.63 and 11,383.50

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Solution

The third proportional to 5,345.63 and 11,383.50 is: 24,241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345.63 : 11,383.50 = 11,383.50 : x
  2. Step 2: Convert to fraction form
    5,345.63/11,383.50 = 11,383.50/x
  3. Step 3: Cross multiply
    5,345.63x = 11,383.50 × 11,383.50
  4. Step 4: Simplify right side
    5,345.63x = 129,584,072.25
  5. Step 5: Solve for x
    x = 129,584,072.25/5,345.63
  6. Step 6: Final answer
    x = 24,241.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.