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Finding the Third Proportional to 23,160.94 and 31,453.31

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Solution

The third proportional to 23,160.94 and 31,453.31 is: 42,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,160.94 : 31,453.31 = 31,453.31 : x
  2. Step 2: Convert to fraction form
    23,160.94/31,453.31 = 31,453.31/x
  3. Step 3: Cross multiply
    23,160.94x = 31,453.31 × 31,453.31
  4. Step 4: Simplify right side
    23,160.94x = 989,310,867.22
  5. Step 5: Solve for x
    x = 989,310,867.22/23,160.94
  6. Step 6: Final answer
    x = 42,714.63

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.