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Finding the Third Proportional to 10,554 and 22,673

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Solution

The third proportional to 10,554 and 22,673 is: 48,708.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554 : 22,673 = 22,673 : x
  2. Step 2: Convert to fraction form
    10,554/22,673 = 22,673/x
  3. Step 3: Cross multiply
    10,554x = 22,673 × 22,673
  4. Step 4: Simplify right side
    10,554x = 514,064,929
  5. Step 5: Solve for x
    x = 514,064,929/10,554
  6. Step 6: Final answer
    x = 48,708.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.