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Finding the Third Proportional to 46,761 and 65,773.50

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Solution

The third proportional to 46,761 and 65,773.50 is: 92,516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,761 : 65,773.50 = 65,773.50 : x
  2. Step 2: Convert to fraction form
    46,761/65,773.50 = 65,773.50/x
  3. Step 3: Cross multiply
    46,761x = 65,773.50 × 65,773.50
  4. Step 4: Simplify right side
    46,761x = 4,326,153,302.25
  5. Step 5: Solve for x
    x = 4,326,153,302.25/46,761
  6. Step 6: Final answer
    x = 92,516.27

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.