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Finding the Third Proportional to 38,535.75 and 52,305.75

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Solution

The third proportional to 38,535.75 and 52,305.75 is: 70,996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,535.75 : 52,305.75 = 52,305.75 : x
  2. Step 2: Convert to fraction form
    38,535.75/52,305.75 = 52,305.75/x
  3. Step 3: Cross multiply
    38,535.75x = 52,305.75 × 52,305.75
  4. Step 4: Simplify right side
    38,535.75x = 2,735,891,483.06
  5. Step 5: Solve for x
    x = 2,735,891,483.06/38,535.75
  6. Step 6: Final answer
    x = 70,996.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.