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Finding the Third Proportional to 48,348 and 68,472

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Solution

The third proportional to 48,348 and 68,472 is: 96,972.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,348 : 68,472 = 68,472 : x
  2. Step 2: Convert to fraction form
    48,348/68,472 = 68,472/x
  3. Step 3: Cross multiply
    48,348x = 68,472 × 68,472
  4. Step 4: Simplify right side
    48,348x = 4,688,414,784
  5. Step 5: Solve for x
    x = 4,688,414,784/48,348
  6. Step 6: Final answer
    x = 96,972.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.