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Finding the Third Proportional to 12,213 and 25,924.75

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Solution

The third proportional to 12,213 and 25,924.75 is: 55,030.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213 : 25,924.75 = 25,924.75 : x
  2. Step 2: Convert to fraction form
    12,213/25,924.75 = 25,924.75/x
  3. Step 3: Cross multiply
    12,213x = 25,924.75 × 25,924.75
  4. Step 4: Simplify right side
    12,213x = 672,092,662.56
  5. Step 5: Solve for x
    x = 672,092,662.56/12,213
  6. Step 6: Final answer
    x = 55,030.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.