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Finding the Third Proportional to 48,435 and 72,701

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Solution

The third proportional to 48,435 and 72,701 is: 109,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,435 : 72,701 = 72,701 : x
  2. Step 2: Convert to fraction form
    48,435/72,701 = 72,701/x
  3. Step 3: Cross multiply
    48,435x = 72,701 × 72,701
  4. Step 4: Simplify right side
    48,435x = 5,285,435,401
  5. Step 5: Solve for x
    x = 5,285,435,401/48,435
  6. Step 6: Final answer
    x = 109,124.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.