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Finding the Third Proportional to 40,506.75 and 84,260.25

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Solution

The third proportional to 40,506.75 and 84,260.25 is: 175,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,506.75 : 84,260.25 = 84,260.25 : x
  2. Step 2: Convert to fraction form
    40,506.75/84,260.25 = 84,260.25/x
  3. Step 3: Cross multiply
    40,506.75x = 84,260.25 × 84,260.25
  4. Step 4: Simplify right side
    40,506.75x = 7,099,789,730.06
  5. Step 5: Solve for x
    x = 7,099,789,730.06/40,506.75
  6. Step 6: Final answer
    x = 175,274.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.