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Finding the Third Proportional to 15,582.38 and 20,882.81

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Solution

The third proportional to 15,582.38 and 20,882.81 is: 27,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.38 : 20,882.81 = 20,882.81 : x
  2. Step 2: Convert to fraction form
    15,582.38/20,882.81 = 20,882.81/x
  3. Step 3: Cross multiply
    15,582.38x = 20,882.81 × 20,882.81
  4. Step 4: Simplify right side
    15,582.38x = 436,091,857.91
  5. Step 5: Solve for x
    x = 436,091,857.91/15,582.38
  6. Step 6: Final answer
    x = 27,986.23

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.