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Finding the Third Proportional to 44,550 and 70,493

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Solution

The third proportional to 44,550 and 70,493 is: 111,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,550 : 70,493 = 70,493 : x
  2. Step 2: Convert to fraction form
    44,550/70,493 = 70,493/x
  3. Step 3: Cross multiply
    44,550x = 70,493 × 70,493
  4. Step 4: Simplify right side
    44,550x = 4,969,263,049
  5. Step 5: Solve for x
    x = 4,969,263,049/44,550
  6. Step 6: Final answer
    x = 111,543.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.