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Finding the Third Proportional to 43,722 and 65,952

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Solution

The third proportional to 43,722 and 65,952 is: 99,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,722 : 65,952 = 65,952 : x
  2. Step 2: Convert to fraction form
    43,722/65,952 = 65,952/x
  3. Step 3: Cross multiply
    43,722x = 65,952 × 65,952
  4. Step 4: Simplify right side
    43,722x = 4,349,666,304
  5. Step 5: Solve for x
    x = 4,349,666,304/43,722
  6. Step 6: Final answer
    x = 99,484.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.