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Finding the Third Proportional to 39,546 and 61,065

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Solution

The third proportional to 39,546 and 61,065 is: 94,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,546 : 61,065 = 61,065 : x
  2. Step 2: Convert to fraction form
    39,546/61,065 = 61,065/x
  3. Step 3: Cross multiply
    39,546x = 61,065 × 61,065
  4. Step 4: Simplify right side
    39,546x = 3,728,934,225
  5. Step 5: Solve for x
    x = 3,728,934,225/39,546
  6. Step 6: Final answer
    x = 94,293.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.