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Finding the Third Proportional to 12,284.16 and 18,527.91

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Solution

The third proportional to 12,284.16 and 18,527.91 is: 27,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.16 : 18,527.91 = 18,527.91 : x
  2. Step 2: Convert to fraction form
    12,284.16/18,527.91 = 18,527.91/x
  3. Step 3: Cross multiply
    12,284.16x = 18,527.91 × 18,527.91
  4. Step 4: Simplify right side
    12,284.16x = 343,283,310.01
  5. Step 5: Solve for x
    x = 343,283,310.01/12,284.16
  6. Step 6: Final answer
    x = 27,945.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.