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Finding the Third Proportional to 48,274.25 and 100,962.38

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Solution

The third proportional to 48,274.25 and 100,962.38 is: 211,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,274.25 : 100,962.38 = 100,962.38 : x
  2. Step 2: Convert to fraction form
    48,274.25/100,962.38 = 100,962.38/x
  3. Step 3: Cross multiply
    48,274.25x = 100,962.38 × 100,962.38
  4. Step 4: Simplify right side
    48,274.25x = 10,193,401,165.64
  5. Step 5: Solve for x
    x = 10,193,401,165.64/48,274.25
  6. Step 6: Final answer
    x = 211,156.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.