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Finding the Third Proportional to 31,902.75 and 45,667.13

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Solution

The third proportional to 31,902.75 and 45,667.13 is: 65,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,902.75 : 45,667.13 = 45,667.13 : x
  2. Step 2: Convert to fraction form
    31,902.75/45,667.13 = 45,667.13/x
  3. Step 3: Cross multiply
    31,902.75x = 45,667.13 × 45,667.13
  4. Step 4: Simplify right side
    31,902.75x = 2,085,486,305.77
  5. Step 5: Solve for x
    x = 2,085,486,305.77/31,902.75
  6. Step 6: Final answer
    x = 65,370.11

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.