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Finding the Third Proportional to 16,930 and 26,155

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Solution

The third proportional to 16,930 and 26,155 is: 40,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,930 : 26,155 = 26,155 : x
  2. Step 2: Convert to fraction form
    16,930/26,155 = 26,155/x
  3. Step 3: Cross multiply
    16,930x = 26,155 × 26,155
  4. Step 4: Simplify right side
    16,930x = 684,084,025
  5. Step 5: Solve for x
    x = 684,084,025/16,930
  6. Step 6: Final answer
    x = 40,406.62

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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.