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Finding the Third Proportional to 29,883.75 and 70,443

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Solution

The third proportional to 29,883.75 and 70,443 is: 166,050.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,883.75 : 70,443 = 70,443 : x
  2. Step 2: Convert to fraction form
    29,883.75/70,443 = 70,443/x
  3. Step 3: Cross multiply
    29,883.75x = 70,443 × 70,443
  4. Step 4: Simplify right side
    29,883.75x = 4,962,216,249
  5. Step 5: Solve for x
    x = 4,962,216,249/29,883.75
  6. Step 6: Final answer
    x = 166,050.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.