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Finding the Third Proportional to 44,340 and 65,213.44

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Solution

The third proportional to 44,340 and 65,213.44 is: 95,913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,340 : 65,213.44 = 65,213.44 : x
  2. Step 2: Convert to fraction form
    44,340/65,213.44 = 65,213.44/x
  3. Step 3: Cross multiply
    44,340x = 65,213.44 × 65,213.44
  4. Step 4: Simplify right side
    44,340x = 4,252,792,430.57
  5. Step 5: Solve for x
    x = 4,252,792,430.57/44,340
  6. Step 6: Final answer
    x = 95,913.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.