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Finding the Third Proportional to 22,223.25 and 32,457.38

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Solution

The third proportional to 22,223.25 and 32,457.38 is: 47,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,223.25 : 32,457.38 = 32,457.38 : x
  2. Step 2: Convert to fraction form
    22,223.25/32,457.38 = 32,457.38/x
  3. Step 3: Cross multiply
    22,223.25x = 32,457.38 × 32,457.38
  4. Step 4: Simplify right side
    22,223.25x = 1,053,481,191.89
  5. Step 5: Solve for x
    x = 1,053,481,191.89/22,223.25
  6. Step 6: Final answer
    x = 47,404.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.