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Finding the Third Proportional to 12,246 and 25,556.25

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Solution

The third proportional to 12,246 and 25,556.25 is: 53,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,246 : 25,556.25 = 25,556.25 : x
  2. Step 2: Convert to fraction form
    12,246/25,556.25 = 25,556.25/x
  3. Step 3: Cross multiply
    12,246x = 25,556.25 × 25,556.25
  4. Step 4: Simplify right side
    12,246x = 653,121,914.06
  5. Step 5: Solve for x
    x = 653,121,914.06/12,246
  6. Step 6: Final answer
    x = 53,333.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.