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Finding the Third Proportional to 4,969.13 and 11,214

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Solution

The third proportional to 4,969.13 and 11,214 is: 25,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.13 : 11,214 = 11,214 : x
  2. Step 2: Convert to fraction form
    4,969.13/11,214 = 11,214/x
  3. Step 3: Cross multiply
    4,969.13x = 11,214 × 11,214
  4. Step 4: Simplify right side
    4,969.13x = 125,753,796
  5. Step 5: Solve for x
    x = 125,753,796/4,969.13
  6. Step 6: Final answer
    x = 25,307.03

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.