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Finding the Third Proportional to 11,970 and 24,536.25

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Solution

The third proportional to 11,970 and 24,536.25 is: 50,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970 : 24,536.25 = 24,536.25 : x
  2. Step 2: Convert to fraction form
    11,970/24,536.25 = 24,536.25/x
  3. Step 3: Cross multiply
    11,970x = 24,536.25 × 24,536.25
  4. Step 4: Simplify right side
    11,970x = 602,027,564.06
  5. Step 5: Solve for x
    x = 602,027,564.06/11,970
  6. Step 6: Final answer
    x = 50,294.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.