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Finding the Third Proportional to 26,435 and 38,922

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Solution

The third proportional to 26,435 and 38,922 is: 57,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,435 : 38,922 = 38,922 : x
  2. Step 2: Convert to fraction form
    26,435/38,922 = 38,922/x
  3. Step 3: Cross multiply
    26,435x = 38,922 × 38,922
  4. Step 4: Simplify right side
    26,435x = 1,514,922,084
  5. Step 5: Solve for x
    x = 1,514,922,084/26,435
  6. Step 6: Final answer
    x = 57,307.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.