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Finding the Third Proportional to 13,582.81 and 20,777.94

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Solution

The third proportional to 13,582.81 and 20,777.94 is: 31,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.81 : 20,777.94 = 20,777.94 : x
  2. Step 2: Convert to fraction form
    13,582.81/20,777.94 = 20,777.94/x
  3. Step 3: Cross multiply
    13,582.81x = 20,777.94 × 20,777.94
  4. Step 4: Simplify right side
    13,582.81x = 431,722,686.75
  5. Step 5: Solve for x
    x = 431,722,686.75/13,582.81
  6. Step 6: Final answer
    x = 31,784.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.