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Finding the Third Proportional to 13,031.94 and 28,453.78

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Solution

The third proportional to 13,031.94 and 28,453.78 is: 62,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.94 : 28,453.78 = 28,453.78 : x
  2. Step 2: Convert to fraction form
    13,031.94/28,453.78 = 28,453.78/x
  3. Step 3: Cross multiply
    13,031.94x = 28,453.78 × 28,453.78
  4. Step 4: Simplify right side
    13,031.94x = 809,617,667.42
  5. Step 5: Solve for x
    x = 809,617,667.42/13,031.94
  6. Step 6: Final answer
    x = 62,125.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.