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Finding the Third Proportional to 43,909 and 65,101.50

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Solution

The third proportional to 43,909 and 65,101.50 is: 96,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,909 : 65,101.50 = 65,101.50 : x
  2. Step 2: Convert to fraction form
    43,909/65,101.50 = 65,101.50/x
  3. Step 3: Cross multiply
    43,909x = 65,101.50 × 65,101.50
  4. Step 4: Simplify right side
    43,909x = 4,238,205,302.25
  5. Step 5: Solve for x
    x = 4,238,205,302.25/43,909
  6. Step 6: Final answer
    x = 96,522.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.