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Finding the Third Proportional to 48,577.50 and 73,874.25

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Solution

The third proportional to 48,577.50 and 73,874.25 is: 112,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,577.50 : 73,874.25 = 73,874.25 : x
  2. Step 2: Convert to fraction form
    48,577.50/73,874.25 = 73,874.25/x
  3. Step 3: Cross multiply
    48,577.50x = 73,874.25 × 73,874.25
  4. Step 4: Simplify right side
    48,577.50x = 5,457,404,813.06
  5. Step 5: Solve for x
    x = 5,457,404,813.06/48,577.50
  6. Step 6: Final answer
    x = 112,344.29

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.