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Finding the Third Proportional to 19,714.25 and 42,709.75

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Solution

The third proportional to 19,714.25 and 42,709.75 is: 92,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.25 : 42,709.75 = 42,709.75 : x
  2. Step 2: Convert to fraction form
    19,714.25/42,709.75 = 42,709.75/x
  3. Step 3: Cross multiply
    19,714.25x = 42,709.75 × 42,709.75
  4. Step 4: Simplify right side
    19,714.25x = 1,824,122,745.06
  5. Step 5: Solve for x
    x = 1,824,122,745.06/19,714.25
  6. Step 6: Final answer
    x = 92,528.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.