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Finding the Third Proportional to 43,393 and 65,089.50

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Solution

The third proportional to 43,393 and 65,089.50 is: 97,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,393 : 65,089.50 = 65,089.50 : x
  2. Step 2: Convert to fraction form
    43,393/65,089.50 = 65,089.50/x
  3. Step 3: Cross multiply
    43,393x = 65,089.50 × 65,089.50
  4. Step 4: Simplify right side
    43,393x = 4,236,643,010.25
  5. Step 5: Solve for x
    x = 4,236,643,010.25/43,393
  6. Step 6: Final answer
    x = 97,634.25

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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.