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Finding the Third Proportional to 48,282 and 69,318

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Solution

The third proportional to 48,282 and 69,318 is: 99,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,282 : 69,318 = 69,318 : x
  2. Step 2: Convert to fraction form
    48,282/69,318 = 69,318/x
  3. Step 3: Cross multiply
    48,282x = 69,318 × 69,318
  4. Step 4: Simplify right side
    48,282x = 4,804,985,124
  5. Step 5: Solve for x
    x = 4,804,985,124/48,282
  6. Step 6: Final answer
    x = 99,519.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.