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Finding the Third Proportional to 26,413 and 39,621

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Solution

The third proportional to 26,413 and 39,621 is: 59,433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,413 : 39,621 = 39,621 : x
  2. Step 2: Convert to fraction form
    26,413/39,621 = 39,621/x
  3. Step 3: Cross multiply
    26,413x = 39,621 × 39,621
  4. Step 4: Simplify right side
    26,413x = 1,569,823,641
  5. Step 5: Solve for x
    x = 1,569,823,641/26,413
  6. Step 6: Final answer
    x = 59,433.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.