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Finding the Third Proportional to 48,363 and 71,622

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Solution

The third proportional to 48,363 and 71,622 is: 106,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,363 : 71,622 = 71,622 : x
  2. Step 2: Convert to fraction form
    48,363/71,622 = 71,622/x
  3. Step 3: Cross multiply
    48,363x = 71,622 × 71,622
  4. Step 4: Simplify right side
    48,363x = 5,129,710,884
  5. Step 5: Solve for x
    x = 5,129,710,884/48,363
  6. Step 6: Final answer
    x = 106,066.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.