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Finding the Third Proportional to 15,602 and 35,837

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Solution

The third proportional to 15,602 and 35,837 is: 82,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,602 : 35,837 = 35,837 : x
  2. Step 2: Convert to fraction form
    15,602/35,837 = 35,837/x
  3. Step 3: Cross multiply
    15,602x = 35,837 × 35,837
  4. Step 4: Simplify right side
    15,602x = 1,284,290,569
  5. Step 5: Solve for x
    x = 1,284,290,569/15,602
  6. Step 6: Final answer
    x = 82,315.77

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.