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Finding the Third Proportional to 38,052 and 54,087.50

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Solution

The third proportional to 38,052 and 54,087.50 is: 76,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,052 : 54,087.50 = 54,087.50 : x
  2. Step 2: Convert to fraction form
    38,052/54,087.50 = 54,087.50/x
  3. Step 3: Cross multiply
    38,052x = 54,087.50 × 54,087.50
  4. Step 4: Simplify right side
    38,052x = 2,925,457,656.25
  5. Step 5: Solve for x
    x = 2,925,457,656.25/38,052
  6. Step 6: Final answer
    x = 76,880.52

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.