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Finding the Third Proportional to 44,013.50 and 65,851

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Solution

The third proportional to 44,013.50 and 65,851 is: 98,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,013.50 : 65,851 = 65,851 : x
  2. Step 2: Convert to fraction form
    44,013.50/65,851 = 65,851/x
  3. Step 3: Cross multiply
    44,013.50x = 65,851 × 65,851
  4. Step 4: Simplify right side
    44,013.50x = 4,336,354,201
  5. Step 5: Solve for x
    x = 4,336,354,201/44,013.50
  6. Step 6: Final answer
    x = 98,523.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.