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Finding the Third Proportional to 11,618 and 25,412

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Solution

The third proportional to 11,618 and 25,412 is: 55,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618 : 25,412 = 25,412 : x
  2. Step 2: Convert to fraction form
    11,618/25,412 = 25,412/x
  3. Step 3: Cross multiply
    11,618x = 25,412 × 25,412
  4. Step 4: Simplify right side
    11,618x = 645,769,744
  5. Step 5: Solve for x
    x = 645,769,744/11,618
  6. Step 6: Final answer
    x = 55,583.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.