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Finding the Third Proportional to 20,714.75 and 31,880.88

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Solution

The third proportional to 20,714.75 and 31,880.88 is: 49,066.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.75 : 31,880.88 = 31,880.88 : x
  2. Step 2: Convert to fraction form
    20,714.75/31,880.88 = 31,880.88/x
  3. Step 3: Cross multiply
    20,714.75x = 31,880.88 × 31,880.88
  4. Step 4: Simplify right side
    20,714.75x = 1,016,390,190.77
  5. Step 5: Solve for x
    x = 1,016,390,190.77/20,714.75
  6. Step 6: Final answer
    x = 49,066.01

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.