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Finding the Third Proportional to 40,069 and 62,038

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Solution

The third proportional to 40,069 and 62,038 is: 96,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,069 : 62,038 = 62,038 : x
  2. Step 2: Convert to fraction form
    40,069/62,038 = 62,038/x
  3. Step 3: Cross multiply
    40,069x = 62,038 × 62,038
  4. Step 4: Simplify right side
    40,069x = 3,848,713,444
  5. Step 5: Solve for x
    x = 3,848,713,444/40,069
  6. Step 6: Final answer
    x = 96,052.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.