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Finding the Third Proportional to 48,456 and 65,452.50

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Solution

The third proportional to 48,456 and 65,452.50 is: 88,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,456 : 65,452.50 = 65,452.50 : x
  2. Step 2: Convert to fraction form
    48,456/65,452.50 = 65,452.50/x
  3. Step 3: Cross multiply
    48,456x = 65,452.50 × 65,452.50
  4. Step 4: Simplify right side
    48,456x = 4,284,029,756.25
  5. Step 5: Solve for x
    x = 4,284,029,756.25/48,456
  6. Step 6: Final answer
    x = 88,410.72

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.