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Finding the Third Proportional to 46,965 and 72,850.50

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Solution

The third proportional to 46,965 and 72,850.50 is: 113,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,965 : 72,850.50 = 72,850.50 : x
  2. Step 2: Convert to fraction form
    46,965/72,850.50 = 72,850.50/x
  3. Step 3: Cross multiply
    46,965x = 72,850.50 × 72,850.50
  4. Step 4: Simplify right side
    46,965x = 5,307,195,350.25
  5. Step 5: Solve for x
    x = 5,307,195,350.25/46,965
  6. Step 6: Final answer
    x = 113,003.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.