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Finding the Third Proportional to 2,164.13 and 4,733.25

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Solution

The third proportional to 2,164.13 and 4,733.25 is: 10,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.13 : 4,733.25 = 4,733.25 : x
  2. Step 2: Convert to fraction form
    2,164.13/4,733.25 = 4,733.25/x
  3. Step 3: Cross multiply
    2,164.13x = 4,733.25 × 4,733.25
  4. Step 4: Simplify right side
    2,164.13x = 22,403,655.56
  5. Step 5: Solve for x
    x = 22,403,655.56/2,164.13
  6. Step 6: Final answer
    x = 10,352.29

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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.