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Finding the Third Proportional to 47,433 and 68,701

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Solution

The third proportional to 47,433 and 68,701 is: 99,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,433 : 68,701 = 68,701 : x
  2. Step 2: Convert to fraction form
    47,433/68,701 = 68,701/x
  3. Step 3: Cross multiply
    47,433x = 68,701 × 68,701
  4. Step 4: Simplify right side
    47,433x = 4,719,827,401
  5. Step 5: Solve for x
    x = 4,719,827,401/47,433
  6. Step 6: Final answer
    x = 99,505.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.