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Finding the Third Proportional to 41,052 and 53,914.50

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Solution

The third proportional to 41,052 and 53,914.50 is: 70,807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,052 : 53,914.50 = 53,914.50 : x
  2. Step 2: Convert to fraction form
    41,052/53,914.50 = 53,914.50/x
  3. Step 3: Cross multiply
    41,052x = 53,914.50 × 53,914.50
  4. Step 4: Simplify right side
    41,052x = 2,906,773,310.25
  5. Step 5: Solve for x
    x = 2,906,773,310.25/41,052
  6. Step 6: Final answer
    x = 70,807.11

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.