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Finding the Third Proportional to 39,628 and 61,558

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Solution

The third proportional to 39,628 and 61,558 is: 95,623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,628 : 61,558 = 61,558 : x
  2. Step 2: Convert to fraction form
    39,628/61,558 = 61,558/x
  3. Step 3: Cross multiply
    39,628x = 61,558 × 61,558
  4. Step 4: Simplify right side
    39,628x = 3,789,387,364
  5. Step 5: Solve for x
    x = 3,789,387,364/39,628
  6. Step 6: Final answer
    x = 95,623.99

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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.