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Finding the Third Proportional to 4,726.75 and 10,176.13

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Solution

The third proportional to 4,726.75 and 10,176.13 is: 21,907.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.75 : 10,176.13 = 10,176.13 : x
  2. Step 2: Convert to fraction form
    4,726.75/10,176.13 = 10,176.13/x
  3. Step 3: Cross multiply
    4,726.75x = 10,176.13 × 10,176.13
  4. Step 4: Simplify right side
    4,726.75x = 103,553,520.02
  5. Step 5: Solve for x
    x = 103,553,520.02/4,726.75
  6. Step 6: Final answer
    x = 21,907.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.