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Finding the Third Proportional to 50,690 and 74,481

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Solution

The third proportional to 50,690 and 74,481 is: 109,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,690 : 74,481 = 74,481 : x
  2. Step 2: Convert to fraction form
    50,690/74,481 = 74,481/x
  3. Step 3: Cross multiply
    50,690x = 74,481 × 74,481
  4. Step 4: Simplify right side
    50,690x = 5,547,419,361
  5. Step 5: Solve for x
    x = 5,547,419,361/50,690
  6. Step 6: Final answer
    x = 109,438.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.