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Finding the Third Proportional to 35,842 and 56,940.50

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Solution

The third proportional to 35,842 and 56,940.50 is: 90,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842 : 56,940.50 = 56,940.50 : x
  2. Step 2: Convert to fraction form
    35,842/56,940.50 = 56,940.50/x
  3. Step 3: Cross multiply
    35,842x = 56,940.50 × 56,940.50
  4. Step 4: Simplify right side
    35,842x = 3,242,220,540.25
  5. Step 5: Solve for x
    x = 3,242,220,540.25/35,842
  6. Step 6: Final answer
    x = 90,458.69

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.