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Finding the Third Proportional to 15,683.63 and 27,651.38

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Solution

The third proportional to 15,683.63 and 27,651.38 is: 48,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.63 : 27,651.38 = 27,651.38 : x
  2. Step 2: Convert to fraction form
    15,683.63/27,651.38 = 27,651.38/x
  3. Step 3: Cross multiply
    15,683.63x = 27,651.38 × 27,651.38
  4. Step 4: Simplify right side
    15,683.63x = 764,598,539.39
  5. Step 5: Solve for x
    x = 764,598,539.39/15,683.63
  6. Step 6: Final answer
    x = 48,751.39

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.