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Finding the Third Proportional to 21,264 and 44,832

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Solution

The third proportional to 21,264 and 44,832 is: 94,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264 : 44,832 = 44,832 : x
  2. Step 2: Convert to fraction form
    21,264/44,832 = 44,832/x
  3. Step 3: Cross multiply
    21,264x = 44,832 × 44,832
  4. Step 4: Simplify right side
    21,264x = 2,009,908,224
  5. Step 5: Solve for x
    x = 2,009,908,224/21,264
  6. Step 6: Final answer
    x = 94,521.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.