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Finding the Third Proportional to 41,985.75 and 65,007

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Solution

The third proportional to 41,985.75 and 65,007 is: 100,651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,985.75 : 65,007 = 65,007 : x
  2. Step 2: Convert to fraction form
    41,985.75/65,007 = 65,007/x
  3. Step 3: Cross multiply
    41,985.75x = 65,007 × 65,007
  4. Step 4: Simplify right side
    41,985.75x = 4,225,910,049
  5. Step 5: Solve for x
    x = 4,225,910,049/41,985.75
  6. Step 6: Final answer
    x = 100,651.06

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