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Finding the Third Proportional to 5,013 and 10,827.75

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Solution

The third proportional to 5,013 and 10,827.75 is: 23,387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013 : 10,827.75 = 10,827.75 : x
  2. Step 2: Convert to fraction form
    5,013/10,827.75 = 10,827.75/x
  3. Step 3: Cross multiply
    5,013x = 10,827.75 × 10,827.75
  4. Step 4: Simplify right side
    5,013x = 117,240,170.06
  5. Step 5: Solve for x
    x = 117,240,170.06/5,013
  6. Step 6: Final answer
    x = 23,387.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.