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Finding the Third Proportional to 27,745.50 and 39,258

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Solution

The third proportional to 27,745.50 and 39,258 is: 55,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.50 : 39,258 = 39,258 : x
  2. Step 2: Convert to fraction form
    27,745.50/39,258 = 39,258/x
  3. Step 3: Cross multiply
    27,745.50x = 39,258 × 39,258
  4. Step 4: Simplify right side
    27,745.50x = 1,541,190,564
  5. Step 5: Solve for x
    x = 1,541,190,564/27,745.50
  6. Step 6: Final answer
    x = 55,547.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.