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Finding the Third Proportional to 5,290 and 8,111

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Solution

The third proportional to 5,290 and 8,111 is: 12,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290 : 8,111 = 8,111 : x
  2. Step 2: Convert to fraction form
    5,290/8,111 = 8,111/x
  3. Step 3: Cross multiply
    5,290x = 8,111 × 8,111
  4. Step 4: Simplify right side
    5,290x = 65,788,321
  5. Step 5: Solve for x
    x = 65,788,321/5,290
  6. Step 6: Final answer
    x = 12,436.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.