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Finding the Third Proportional to 39,506 and 83,662

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Solution

The third proportional to 39,506 and 83,662 is: 177,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,506 : 83,662 = 83,662 : x
  2. Step 2: Convert to fraction form
    39,506/83,662 = 83,662/x
  3. Step 3: Cross multiply
    39,506x = 83,662 × 83,662
  4. Step 4: Simplify right side
    39,506x = 6,999,330,244
  5. Step 5: Solve for x
    x = 6,999,330,244/39,506
  6. Step 6: Final answer
    x = 177,171.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.