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Finding the Third Proportional to 21,957.75 and 48,827.81

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Solution

The third proportional to 21,957.75 and 48,827.81 is: 108,579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957.75 : 48,827.81 = 48,827.81 : x
  2. Step 2: Convert to fraction form
    21,957.75/48,827.81 = 48,827.81/x
  3. Step 3: Cross multiply
    21,957.75x = 48,827.81 × 48,827.81
  4. Step 4: Simplify right side
    21,957.75x = 2,384,155,273.54
  5. Step 5: Solve for x
    x = 2,384,155,273.54/21,957.75
  6. Step 6: Final answer
    x = 108,579.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.