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Finding the Third Proportional to 20,616 and 31,215

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Solution

The third proportional to 20,616 and 31,215 is: 47,263.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,616 : 31,215 = 31,215 : x
  2. Step 2: Convert to fraction form
    20,616/31,215 = 31,215/x
  3. Step 3: Cross multiply
    20,616x = 31,215 × 31,215
  4. Step 4: Simplify right side
    20,616x = 974,376,225
  5. Step 5: Solve for x
    x = 974,376,225/20,616
  6. Step 6: Final answer
    x = 47,263.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.