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Finding the Third Proportional to 37,896.75 and 63,157.50

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Solution

The third proportional to 37,896.75 and 63,157.50 is: 105,256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,896.75 : 63,157.50 = 63,157.50 : x
  2. Step 2: Convert to fraction form
    37,896.75/63,157.50 = 63,157.50/x
  3. Step 3: Cross multiply
    37,896.75x = 63,157.50 × 63,157.50
  4. Step 4: Simplify right side
    37,896.75x = 3,988,869,806.25
  5. Step 5: Solve for x
    x = 3,988,869,806.25/37,896.75
  6. Step 6: Final answer
    x = 105,256.25

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.