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Finding the Third Proportional to 44,581.50 and 65,505

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Solution

The third proportional to 44,581.50 and 65,505 is: 96,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,581.50 : 65,505 = 65,505 : x
  2. Step 2: Convert to fraction form
    44,581.50/65,505 = 65,505/x
  3. Step 3: Cross multiply
    44,581.50x = 65,505 × 65,505
  4. Step 4: Simplify right side
    44,581.50x = 4,290,905,025
  5. Step 5: Solve for x
    x = 4,290,905,025/44,581.50
  6. Step 6: Final answer
    x = 96,248.56

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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.