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Finding the Third Proportional to 31,776 and 48,519

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Solution

The third proportional to 31,776 and 48,519 is: 74,084.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776 : 48,519 = 48,519 : x
  2. Step 2: Convert to fraction form
    31,776/48,519 = 48,519/x
  3. Step 3: Cross multiply
    31,776x = 48,519 × 48,519
  4. Step 4: Simplify right side
    31,776x = 2,354,093,361
  5. Step 5: Solve for x
    x = 2,354,093,361/31,776
  6. Step 6: Final answer
    x = 74,084.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.