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Finding the Third Proportional to 4,864 and 7,332

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Solution

The third proportional to 4,864 and 7,332 is: 11,052.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864 : 7,332 = 7,332 : x
  2. Step 2: Convert to fraction form
    4,864/7,332 = 7,332/x
  3. Step 3: Cross multiply
    4,864x = 7,332 × 7,332
  4. Step 4: Simplify right side
    4,864x = 53,758,224
  5. Step 5: Solve for x
    x = 53,758,224/4,864
  6. Step 6: Final answer
    x = 11,052.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.