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Finding the Third Proportional to 39,554 and 61,077

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Solution

The third proportional to 39,554 and 61,077 is: 94,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,554 : 61,077 = 61,077 : x
  2. Step 2: Convert to fraction form
    39,554/61,077 = 61,077/x
  3. Step 3: Cross multiply
    39,554x = 61,077 × 61,077
  4. Step 4: Simplify right side
    39,554x = 3,730,399,929
  5. Step 5: Solve for x
    x = 3,730,399,929/39,554
  6. Step 6: Final answer
    x = 94,311.57

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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.