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Finding the Third Proportional to 28,143.38 and 39,582.38

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Solution

The third proportional to 28,143.38 and 39,582.38 is: 55,670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,143.38 : 39,582.38 = 39,582.38 : x
  2. Step 2: Convert to fraction form
    28,143.38/39,582.38 = 39,582.38/x
  3. Step 3: Cross multiply
    28,143.38x = 39,582.38 × 39,582.38
  4. Step 4: Simplify right side
    28,143.38x = 1,566,764,410.64
  5. Step 5: Solve for x
    x = 1,566,764,410.64/28,143.38
  6. Step 6: Final answer
    x = 55,670.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.