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Finding the Third Proportional to 5,181.75 and 11,345.63

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Solution

The third proportional to 5,181.75 and 11,345.63 is: 24,841.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.75 : 11,345.63 = 11,345.63 : x
  2. Step 2: Convert to fraction form
    5,181.75/11,345.63 = 11,345.63/x
  3. Step 3: Cross multiply
    5,181.75x = 11,345.63 × 11,345.63
  4. Step 4: Simplify right side
    5,181.75x = 128,723,206.64
  5. Step 5: Solve for x
    x = 128,723,206.64/5,181.75
  6. Step 6: Final answer
    x = 24,841.65

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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.