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Finding the Third Proportional to 31,766 and 48,315

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Solution

The third proportional to 31,766 and 48,315 is: 73,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,766 : 48,315 = 48,315 : x
  2. Step 2: Convert to fraction form
    31,766/48,315 = 48,315/x
  3. Step 3: Cross multiply
    31,766x = 48,315 × 48,315
  4. Step 4: Simplify right side
    31,766x = 2,334,339,225
  5. Step 5: Solve for x
    x = 2,334,339,225/31,766
  6. Step 6: Final answer
    x = 73,485.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.