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Finding the Third Proportional to 44,912.75 and 70,454

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Solution

The third proportional to 44,912.75 and 70,454 is: 110,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,912.75 : 70,454 = 70,454 : x
  2. Step 2: Convert to fraction form
    44,912.75/70,454 = 70,454/x
  3. Step 3: Cross multiply
    44,912.75x = 70,454 × 70,454
  4. Step 4: Simplify right side
    44,912.75x = 4,963,766,116
  5. Step 5: Solve for x
    x = 4,963,766,116/44,912.75
  6. Step 6: Final answer
    x = 110,520.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.