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Finding the Third Proportional to 21,876.33 and 47,712.23

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Solution

The third proportional to 21,876.33 and 47,712.23 is: 104,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.33 : 47,712.23 = 47,712.23 : x
  2. Step 2: Convert to fraction form
    21,876.33/47,712.23 = 47,712.23/x
  3. Step 3: Cross multiply
    21,876.33x = 47,712.23 × 47,712.23
  4. Step 4: Simplify right side
    21,876.33x = 2,276,457,309.05
  5. Step 5: Solve for x
    x = 2,276,457,309.05/21,876.33
  6. Step 6: Final answer
    x = 104,060.30

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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.