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Finding the Third Proportional to 43,750 and 65,611

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Solution

The third proportional to 43,750 and 65,611 is: 98,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,750 : 65,611 = 65,611 : x
  2. Step 2: Convert to fraction form
    43,750/65,611 = 65,611/x
  3. Step 3: Cross multiply
    43,750x = 65,611 × 65,611
  4. Step 4: Simplify right side
    43,750x = 4,304,803,321
  5. Step 5: Solve for x
    x = 4,304,803,321/43,750
  6. Step 6: Final answer
    x = 98,395.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.