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Finding the Third Proportional to 50,428.75 and 68,521

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Solution

The third proportional to 50,428.75 and 68,521 is: 93,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,428.75 : 68,521 = 68,521 : x
  2. Step 2: Convert to fraction form
    50,428.75/68,521 = 68,521/x
  3. Step 3: Cross multiply
    50,428.75x = 68,521 × 68,521
  4. Step 4: Simplify right side
    50,428.75x = 4,695,127,441
  5. Step 5: Solve for x
    x = 4,695,127,441/50,428.75
  6. Step 6: Final answer
    x = 93,104.18

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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.