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Finding the Third Proportional to 11,140.03 and 23,214.09

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Solution

The third proportional to 11,140.03 and 23,214.09 is: 48,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140.03 : 23,214.09 = 23,214.09 : x
  2. Step 2: Convert to fraction form
    11,140.03/23,214.09 = 23,214.09/x
  3. Step 3: Cross multiply
    11,140.03x = 23,214.09 × 23,214.09
  4. Step 4: Simplify right side
    11,140.03x = 538,894,148.63
  5. Step 5: Solve for x
    x = 538,894,148.63/11,140.03
  6. Step 6: Final answer
    x = 48,374.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.