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Finding the Third Proportional to 43,050 and 65,485.50

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Solution

The third proportional to 43,050 and 65,485.50 is: 99,613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,050 : 65,485.50 = 65,485.50 : x
  2. Step 2: Convert to fraction form
    43,050/65,485.50 = 65,485.50/x
  3. Step 3: Cross multiply
    43,050x = 65,485.50 × 65,485.50
  4. Step 4: Simplify right side
    43,050x = 4,288,350,710.25
  5. Step 5: Solve for x
    x = 4,288,350,710.25/43,050
  6. Step 6: Final answer
    x = 99,613.26

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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.