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Finding the Third Proportional to 26,148 and 39,834

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Solution

The third proportional to 26,148 and 39,834 is: 60,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,148 : 39,834 = 39,834 : x
  2. Step 2: Convert to fraction form
    26,148/39,834 = 39,834/x
  3. Step 3: Cross multiply
    26,148x = 39,834 × 39,834
  4. Step 4: Simplify right side
    26,148x = 1,586,747,556
  5. Step 5: Solve for x
    x = 1,586,747,556/26,148
  6. Step 6: Final answer
    x = 60,683.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.