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Finding the Third Proportional to 26,438 and 40,916

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Solution

The third proportional to 26,438 and 40,916 is: 63,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,438 : 40,916 = 40,916 : x
  2. Step 2: Convert to fraction form
    26,438/40,916 = 40,916/x
  3. Step 3: Cross multiply
    26,438x = 40,916 × 40,916
  4. Step 4: Simplify right side
    26,438x = 1,674,119,056
  5. Step 5: Solve for x
    x = 1,674,119,056/26,438
  6. Step 6: Final answer
    x = 63,322.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.