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Finding the Third Proportional to 29,110.50 and 54,144

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Solution

The third proportional to 29,110.50 and 54,144 is: 100,704.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,110.50 : 54,144 = 54,144 : x
  2. Step 2: Convert to fraction form
    29,110.50/54,144 = 54,144/x
  3. Step 3: Cross multiply
    29,110.50x = 54,144 × 54,144
  4. Step 4: Simplify right side
    29,110.50x = 2,931,572,736
  5. Step 5: Solve for x
    x = 2,931,572,736/29,110.50
  6. Step 6: Final answer
    x = 100,704.99

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.