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Finding the Third Proportional to 31,278 and 45,822.75

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Solution

The third proportional to 31,278 and 45,822.75 is: 67,131.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,278 : 45,822.75 = 45,822.75 : x
  2. Step 2: Convert to fraction form
    31,278/45,822.75 = 45,822.75/x
  3. Step 3: Cross multiply
    31,278x = 45,822.75 × 45,822.75
  4. Step 4: Simplify right side
    31,278x = 2,099,724,417.56
  5. Step 5: Solve for x
    x = 2,099,724,417.56/31,278
  6. Step 6: Final answer
    x = 67,131.03

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.