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Finding the Third Proportional to 10,496.46 and 22,683.80

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Solution

The third proportional to 10,496.46 and 22,683.80 is: 49,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.46 : 22,683.80 = 22,683.80 : x
  2. Step 2: Convert to fraction form
    10,496.46/22,683.80 = 22,683.80/x
  3. Step 3: Cross multiply
    10,496.46x = 22,683.80 × 22,683.80
  4. Step 4: Simplify right side
    10,496.46x = 514,554,640.67
  5. Step 5: Solve for x
    x = 514,554,640.67/10,496.46
  6. Step 6: Final answer
    x = 49,021.73

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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.