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Finding the Third Proportional to 13,461.75 and 31,443.75

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Solution

The third proportional to 13,461.75 and 31,443.75 is: 73,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.75 : 31,443.75 = 31,443.75 : x
  2. Step 2: Convert to fraction form
    13,461.75/31,443.75 = 31,443.75/x
  3. Step 3: Cross multiply
    13,461.75x = 31,443.75 × 31,443.75
  4. Step 4: Simplify right side
    13,461.75x = 988,709,414.06
  5. Step 5: Solve for x
    x = 988,709,414.06/13,461.75
  6. Step 6: Final answer
    x = 73,445.83

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.