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Finding the Third Proportional to 43,995 and 59,772

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Solution

The third proportional to 43,995 and 59,772 is: 81,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,995 : 59,772 = 59,772 : x
  2. Step 2: Convert to fraction form
    43,995/59,772 = 59,772/x
  3. Step 3: Cross multiply
    43,995x = 59,772 × 59,772
  4. Step 4: Simplify right side
    43,995x = 3,572,691,984
  5. Step 5: Solve for x
    x = 3,572,691,984/43,995
  6. Step 6: Final answer
    x = 81,206.77

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.