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Finding the Third Proportional to 4,677.28 and 10,104.20

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Solution

The third proportional to 4,677.28 and 10,104.20 is: 21,827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.28 : 10,104.20 = 10,104.20 : x
  2. Step 2: Convert to fraction form
    4,677.28/10,104.20 = 10,104.20/x
  3. Step 3: Cross multiply
    4,677.28x = 10,104.20 × 10,104.20
  4. Step 4: Simplify right side
    4,677.28x = 102,094,782.65
  5. Step 5: Solve for x
    x = 102,094,782.65/4,677.28
  6. Step 6: Final answer
    x = 21,827.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.