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Finding the Third Proportional to 21,125.81 and 28,286.72

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Solution

The third proportional to 21,125.81 and 28,286.72 is: 37,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,125.81 : 28,286.72 = 28,286.72 : x
  2. Step 2: Convert to fraction form
    21,125.81/28,286.72 = 28,286.72/x
  3. Step 3: Cross multiply
    21,125.81x = 28,286.72 × 28,286.72
  4. Step 4: Simplify right side
    21,125.81x = 800,138,457.64
  5. Step 5: Solve for x
    x = 800,138,457.64/21,125.81
  6. Step 6: Final answer
    x = 37,874.92

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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.