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Finding the Third Proportional to 11,658 and 18,538

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Solution

The third proportional to 11,658 and 18,538 is: 29,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658 : 18,538 = 18,538 : x
  2. Step 2: Convert to fraction form
    11,658/18,538 = 18,538/x
  3. Step 3: Cross multiply
    11,658x = 18,538 × 18,538
  4. Step 4: Simplify right side
    11,658x = 343,657,444
  5. Step 5: Solve for x
    x = 343,657,444/11,658
  6. Step 6: Final answer
    x = 29,478.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.