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Finding the Third Proportional to 16,854 and 26,037

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Solution

The third proportional to 16,854 and 26,037 is: 40,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854 : 26,037 = 26,037 : x
  2. Step 2: Convert to fraction form
    16,854/26,037 = 26,037/x
  3. Step 3: Cross multiply
    16,854x = 26,037 × 26,037
  4. Step 4: Simplify right side
    16,854x = 677,925,369
  5. Step 5: Solve for x
    x = 677,925,369/16,854
  6. Step 6: Final answer
    x = 40,223.41

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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.