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Finding the Third Proportional to 4,055.91 and 8,821.41

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Solution

The third proportional to 4,055.91 and 8,821.41 is: 19,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.91 : 8,821.41 = 8,821.41 : x
  2. Step 2: Convert to fraction form
    4,055.91/8,821.41 = 8,821.41/x
  3. Step 3: Cross multiply
    4,055.91x = 8,821.41 × 8,821.41
  4. Step 4: Simplify right side
    4,055.91x = 77,817,208.23
  5. Step 5: Solve for x
    x = 77,817,208.23/4,055.91
  6. Step 6: Final answer
    x = 19,186.15

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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.