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Finding the Third Proportional to 36,315 and 57,063

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Solution

The third proportional to 36,315 and 57,063 is: 89,665.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,315 : 57,063 = 57,063 : x
  2. Step 2: Convert to fraction form
    36,315/57,063 = 57,063/x
  3. Step 3: Cross multiply
    36,315x = 57,063 × 57,063
  4. Step 4: Simplify right side
    36,315x = 3,256,185,969
  5. Step 5: Solve for x
    x = 3,256,185,969/36,315
  6. Step 6: Final answer
    x = 89,665.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.