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Finding the Third Proportional to 43,995 and 70,835

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Solution

The third proportional to 43,995 and 70,835 is: 114,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,995 : 70,835 = 70,835 : x
  2. Step 2: Convert to fraction form
    43,995/70,835 = 70,835/x
  3. Step 3: Cross multiply
    43,995x = 70,835 × 70,835
  4. Step 4: Simplify right side
    43,995x = 5,017,597,225
  5. Step 5: Solve for x
    x = 5,017,597,225/43,995
  6. Step 6: Final answer
    x = 114,049.26

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.