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Finding the Third Proportional to 46,783.50 and 65,889

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Solution

The third proportional to 46,783.50 and 65,889 is: 92,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,783.50 : 65,889 = 65,889 : x
  2. Step 2: Convert to fraction form
    46,783.50/65,889 = 65,889/x
  3. Step 3: Cross multiply
    46,783.50x = 65,889 × 65,889
  4. Step 4: Simplify right side
    46,783.50x = 4,341,360,321
  5. Step 5: Solve for x
    x = 4,341,360,321/46,783.50
  6. Step 6: Final answer
    x = 92,796.83

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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.