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Finding the Third Proportional to 31,212.84 and 48,277.27

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Solution

The third proportional to 31,212.84 and 48,277.27 is: 74,671.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,212.84 : 48,277.27 = 48,277.27 : x
  2. Step 2: Convert to fraction form
    31,212.84/48,277.27 = 48,277.27/x
  3. Step 3: Cross multiply
    31,212.84x = 48,277.27 × 48,277.27
  4. Step 4: Simplify right side
    31,212.84x = 2,330,694,376.23
  5. Step 5: Solve for x
    x = 2,330,694,376.23/31,212.84
  6. Step 6: Final answer
    x = 74,671.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.