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Finding the Third Proportional to 17,768 and 27,258

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Solution

The third proportional to 17,768 and 27,258 is: 41,816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768 : 27,258 = 27,258 : x
  2. Step 2: Convert to fraction form
    17,768/27,258 = 27,258/x
  3. Step 3: Cross multiply
    17,768x = 27,258 × 27,258
  4. Step 4: Simplify right side
    17,768x = 742,998,564
  5. Step 5: Solve for x
    x = 742,998,564/17,768
  6. Step 6: Final answer
    x = 41,816.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.