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Finding the Third Proportional to 15,953.63 and 33,924.66

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Solution

The third proportional to 15,953.63 and 33,924.66 is: 72,139.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,953.63 : 33,924.66 = 33,924.66 : x
  2. Step 2: Convert to fraction form
    15,953.63/33,924.66 = 33,924.66/x
  3. Step 3: Cross multiply
    15,953.63x = 33,924.66 × 33,924.66
  4. Step 4: Simplify right side
    15,953.63x = 1,150,882,301.68
  5. Step 5: Solve for x
    x = 1,150,882,301.68/15,953.63
  6. Step 6: Final answer
    x = 72,139.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.