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Finding the Third Proportional to 10,257.75 and 22,116.38

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Solution

The third proportional to 10,257.75 and 22,116.38 is: 47,684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.75 : 22,116.38 = 22,116.38 : x
  2. Step 2: Convert to fraction form
    10,257.75/22,116.38 = 22,116.38/x
  3. Step 3: Cross multiply
    10,257.75x = 22,116.38 × 22,116.38
  4. Step 4: Simplify right side
    10,257.75x = 489,134,043.14
  5. Step 5: Solve for x
    x = 489,134,043.14/10,257.75
  6. Step 6: Final answer
    x = 47,684.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.