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Finding the Third Proportional to 12,368 and 28,864

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Solution

The third proportional to 12,368 and 28,864 is: 67,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368 : 28,864 = 28,864 : x
  2. Step 2: Convert to fraction form
    12,368/28,864 = 28,864/x
  3. Step 3: Cross multiply
    12,368x = 28,864 × 28,864
  4. Step 4: Simplify right side
    12,368x = 833,130,496
  5. Step 5: Solve for x
    x = 833,130,496/12,368
  6. Step 6: Final answer
    x = 67,361.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.