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Finding the Third Proportional to 21,722.63 and 47,596.69

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Solution

The third proportional to 21,722.63 and 47,596.69 is: 104,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,722.63 : 47,596.69 = 47,596.69 : x
  2. Step 2: Convert to fraction form
    21,722.63/47,596.69 = 47,596.69/x
  3. Step 3: Cross multiply
    21,722.63x = 47,596.69 × 47,596.69
  4. Step 4: Simplify right side
    21,722.63x = 2,265,444,660.97
  5. Step 5: Solve for x
    x = 2,265,444,660.97/21,722.63
  6. Step 6: Final answer
    x = 104,289.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.