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Finding the Third Proportional to 35,969 and 56,305.50

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Solution

The third proportional to 35,969 and 56,305.50 is: 88,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,969 : 56,305.50 = 56,305.50 : x
  2. Step 2: Convert to fraction form
    35,969/56,305.50 = 56,305.50/x
  3. Step 3: Cross multiply
    35,969x = 56,305.50 × 56,305.50
  4. Step 4: Simplify right side
    35,969x = 3,170,309,330.25
  5. Step 5: Solve for x
    x = 3,170,309,330.25/35,969
  6. Step 6: Final answer
    x = 88,140.05

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.