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Finding the Third Proportional to 21,078 and 31,756.13

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Solution

The third proportional to 21,078 and 31,756.13 is: 47,843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078 : 31,756.13 = 31,756.13 : x
  2. Step 2: Convert to fraction form
    21,078/31,756.13 = 31,756.13/x
  3. Step 3: Cross multiply
    21,078x = 31,756.13 × 31,756.13
  4. Step 4: Simplify right side
    21,078x = 1,008,451,475.02
  5. Step 5: Solve for x
    x = 1,008,451,475.02/21,078
  6. Step 6: Final answer
    x = 47,843.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.