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Finding the Third Proportional to 38,165.50 and 85,713.50

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Solution

The third proportional to 38,165.50 and 85,713.50 is: 192,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,165.50 : 85,713.50 = 85,713.50 : x
  2. Step 2: Convert to fraction form
    38,165.50/85,713.50 = 85,713.50/x
  3. Step 3: Cross multiply
    38,165.50x = 85,713.50 × 85,713.50
  4. Step 4: Simplify right side
    38,165.50x = 7,346,804,082.25
  5. Step 5: Solve for x
    x = 7,346,804,082.25/38,165.50
  6. Step 6: Final answer
    x = 192,498.57

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.