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Finding the Third Proportional to 15,595 and 31,817

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Solution

The third proportional to 15,595 and 31,817 is: 64,913.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,595 : 31,817 = 31,817 : x
  2. Step 2: Convert to fraction form
    15,595/31,817 = 31,817/x
  3. Step 3: Cross multiply
    15,595x = 31,817 × 31,817
  4. Step 4: Simplify right side
    15,595x = 1,012,321,489
  5. Step 5: Solve for x
    x = 1,012,321,489/15,595
  6. Step 6: Final answer
    x = 64,913.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.