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Finding the Third Proportional to 16,260 and 26,934

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Solution

The third proportional to 16,260 and 26,934 is: 44,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,260 : 26,934 = 26,934 : x
  2. Step 2: Convert to fraction form
    16,260/26,934 = 26,934/x
  3. Step 3: Cross multiply
    16,260x = 26,934 × 26,934
  4. Step 4: Simplify right side
    16,260x = 725,440,356
  5. Step 5: Solve for x
    x = 725,440,356/16,260
  6. Step 6: Final answer
    x = 44,615.03

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.