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Finding the Third Proportional to 29,713.50 and 55,731

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Solution

The third proportional to 29,713.50 and 55,731 is: 104,529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713.50 : 55,731 = 55,731 : x
  2. Step 2: Convert to fraction form
    29,713.50/55,731 = 55,731/x
  3. Step 3: Cross multiply
    29,713.50x = 55,731 × 55,731
  4. Step 4: Simplify right side
    29,713.50x = 3,105,944,361
  5. Step 5: Solve for x
    x = 3,105,944,361/29,713.50
  6. Step 6: Final answer
    x = 104,529.74

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.