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Finding the Third Proportional to 10,472 and 22,826

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Solution

The third proportional to 10,472 and 22,826 is: 49,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472 : 22,826 = 22,826 : x
  2. Step 2: Convert to fraction form
    10,472/22,826 = 22,826/x
  3. Step 3: Cross multiply
    10,472x = 22,826 × 22,826
  4. Step 4: Simplify right side
    10,472x = 521,026,276
  5. Step 5: Solve for x
    x = 521,026,276/10,472
  6. Step 6: Final answer
    x = 49,754.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.