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Finding the Third Proportional to 10,170.38 and 21,434.25

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Solution

The third proportional to 10,170.38 and 21,434.25 is: 45,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.38 : 21,434.25 = 21,434.25 : x
  2. Step 2: Convert to fraction form
    10,170.38/21,434.25 = 21,434.25/x
  3. Step 3: Cross multiply
    10,170.38x = 21,434.25 × 21,434.25
  4. Step 4: Simplify right side
    10,170.38x = 459,427,073.06
  5. Step 5: Solve for x
    x = 459,427,073.06/10,170.38
  6. Step 6: Final answer
    x = 45,173.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.