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Finding the Third Proportional to 16,083 and 34,290

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Solution

The third proportional to 16,083 and 34,290 is: 73,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083 : 34,290 = 34,290 : x
  2. Step 2: Convert to fraction form
    16,083/34,290 = 34,290/x
  3. Step 3: Cross multiply
    16,083x = 34,290 × 34,290
  4. Step 4: Simplify right side
    16,083x = 1,175,804,100
  5. Step 5: Solve for x
    x = 1,175,804,100/16,083
  6. Step 6: Final answer
    x = 73,108.51

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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.