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Finding the Third Proportional to 10,168.88 and 22,055.63

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Solution

The third proportional to 10,168.88 and 22,055.63 is: 47,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.88 : 22,055.63 = 22,055.63 : x
  2. Step 2: Convert to fraction form
    10,168.88/22,055.63 = 22,055.63/x
  3. Step 3: Cross multiply
    10,168.88x = 22,055.63 × 22,055.63
  4. Step 4: Simplify right side
    10,168.88x = 486,450,594.14
  5. Step 5: Solve for x
    x = 486,450,594.14/10,168.88
  6. Step 6: Final answer
    x = 47,837.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.