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Finding the Third Proportional to 10,647.50 and 22,660.75

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Solution

The third proportional to 10,647.50 and 22,660.75 is: 48,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.50 : 22,660.75 = 22,660.75 : x
  2. Step 2: Convert to fraction form
    10,647.50/22,660.75 = 22,660.75/x
  3. Step 3: Cross multiply
    10,647.50x = 22,660.75 × 22,660.75
  4. Step 4: Simplify right side
    10,647.50x = 513,509,590.56
  5. Step 5: Solve for x
    x = 513,509,590.56/10,647.50
  6. Step 6: Final answer
    x = 48,228.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.