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Finding the Third Proportional to 38,274.64 and 83,189.29

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Solution

The third proportional to 38,274.64 and 83,189.29 is: 180,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,274.64 : 83,189.29 = 83,189.29 : x
  2. Step 2: Convert to fraction form
    38,274.64/83,189.29 = 83,189.29/x
  3. Step 3: Cross multiply
    38,274.64x = 83,189.29 × 83,189.29
  4. Step 4: Simplify right side
    38,274.64x = 6,920,458,627.12
  5. Step 5: Solve for x
    x = 6,920,458,627.12/38,274.64
  6. Step 6: Final answer
    x = 180,810.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.