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Finding the Third Proportional to 5,837.25 and 12,813

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Solution

The third proportional to 5,837.25 and 12,813 is: 28,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.25 : 12,813 = 12,813 : x
  2. Step 2: Convert to fraction form
    5,837.25/12,813 = 12,813/x
  3. Step 3: Cross multiply
    5,837.25x = 12,813 × 12,813
  4. Step 4: Simplify right side
    5,837.25x = 164,172,969
  5. Step 5: Solve for x
    x = 164,172,969/5,837.25
  6. Step 6: Final answer
    x = 28,125.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.