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Finding the Third Proportional to 21,224 and 23,072

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Solution

The third proportional to 21,224 and 23,072 is: 25,080.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224 : 23,072 = 23,072 : x
  2. Step 2: Convert to fraction form
    21,224/23,072 = 23,072/x
  3. Step 3: Cross multiply
    21,224x = 23,072 × 23,072
  4. Step 4: Simplify right side
    21,224x = 532,317,184
  5. Step 5: Solve for x
    x = 532,317,184/21,224
  6. Step 6: Final answer
    x = 25,080.91

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.