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Finding the Third Proportional to 26,326 and 40,466

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Solution

The third proportional to 26,326 and 40,466 is: 62,200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,326 : 40,466 = 40,466 : x
  2. Step 2: Convert to fraction form
    26,326/40,466 = 40,466/x
  3. Step 3: Cross multiply
    26,326x = 40,466 × 40,466
  4. Step 4: Simplify right side
    26,326x = 1,637,497,156
  5. Step 5: Solve for x
    x = 1,637,497,156/26,326
  6. Step 6: Final answer
    x = 62,200.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.