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Finding the Third Proportional to 23,714.44 and 31,719.94

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Solution

The third proportional to 23,714.44 and 31,719.94 is: 42,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.44 : 31,719.94 = 31,719.94 : x
  2. Step 2: Convert to fraction form
    23,714.44/31,719.94 = 31,719.94/x
  3. Step 3: Cross multiply
    23,714.44x = 31,719.94 × 31,719.94
  4. Step 4: Simplify right side
    23,714.44x = 1,006,154,435.00
  5. Step 5: Solve for x
    x = 1,006,154,435.00/23,714.44
  6. Step 6: Final answer
    x = 42,427.93

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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.