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Finding the Third Proportional to 22,941.75 and 32,307.38

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Solution

The third proportional to 22,941.75 and 32,307.38 is: 45,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,941.75 : 32,307.38 = 32,307.38 : x
  2. Step 2: Convert to fraction form
    22,941.75/32,307.38 = 32,307.38/x
  3. Step 3: Cross multiply
    22,941.75x = 32,307.38 × 32,307.38
  4. Step 4: Simplify right side
    22,941.75x = 1,043,766,479.39
  5. Step 5: Solve for x
    x = 1,043,766,479.39/22,941.75
  6. Step 6: Final answer
    x = 45,496.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.