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Finding the Third Proportional to 23,280 and 36,864

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Solution

The third proportional to 23,280 and 36,864 is: 58,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,280 : 36,864 = 36,864 : x
  2. Step 2: Convert to fraction form
    23,280/36,864 = 36,864/x
  3. Step 3: Cross multiply
    23,280x = 36,864 × 36,864
  4. Step 4: Simplify right side
    23,280x = 1,358,954,496
  5. Step 5: Solve for x
    x = 1,358,954,496/23,280
  6. Step 6: Final answer
    x = 58,374.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.