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Finding the Third Proportional to 10,450.69 and 22,534.03

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Solution

The third proportional to 10,450.69 and 22,534.03 is: 48,588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.69 : 22,534.03 = 22,534.03 : x
  2. Step 2: Convert to fraction form
    10,450.69/22,534.03 = 22,534.03/x
  3. Step 3: Cross multiply
    10,450.69x = 22,534.03 × 22,534.03
  4. Step 4: Simplify right side
    10,450.69x = 507,782,564.38
  5. Step 5: Solve for x
    x = 507,782,564.38/10,450.69
  6. Step 6: Final answer
    x = 48,588.44

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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.