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Finding the Third Proportional to 2,154.94 and 4,713.61

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Solution

The third proportional to 2,154.94 and 4,713.61 is: 10,310.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.94 : 4,713.61 = 4,713.61 : x
  2. Step 2: Convert to fraction form
    2,154.94/4,713.61 = 4,713.61/x
  3. Step 3: Cross multiply
    2,154.94x = 4,713.61 × 4,713.61
  4. Step 4: Simplify right side
    2,154.94x = 22,218,113.34
  5. Step 5: Solve for x
    x = 22,218,113.34/2,154.94
  6. Step 6: Final answer
    x = 10,310.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.