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Finding the Third Proportional to 37,902.75 and 58,852.88

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Solution

The third proportional to 37,902.75 and 58,852.88 is: 91,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,902.75 : 58,852.88 = 58,852.88 : x
  2. Step 2: Convert to fraction form
    37,902.75/58,852.88 = 58,852.88/x
  3. Step 3: Cross multiply
    37,902.75x = 58,852.88 × 58,852.88
  4. Step 4: Simplify right side
    37,902.75x = 3,463,660,895.77
  5. Step 5: Solve for x
    x = 3,463,660,895.77/37,902.75
  6. Step 6: Final answer
    x = 91,382.84

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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.