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Finding the Third Proportional to 16,023 and 34,131

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Solution

The third proportional to 16,023 and 34,131 is: 72,703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023 : 34,131 = 34,131 : x
  2. Step 2: Convert to fraction form
    16,023/34,131 = 34,131/x
  3. Step 3: Cross multiply
    16,023x = 34,131 × 34,131
  4. Step 4: Simplify right side
    16,023x = 1,164,925,161
  5. Step 5: Solve for x
    x = 1,164,925,161/16,023
  6. Step 6: Final answer
    x = 72,703.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.