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Finding the Third Proportional to 18,933.75 and 29,705.06

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Solution

The third proportional to 18,933.75 and 29,705.06 is: 46,604.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,933.75 : 29,705.06 = 29,705.06 : x
  2. Step 2: Convert to fraction form
    18,933.75/29,705.06 = 29,705.06/x
  3. Step 3: Cross multiply
    18,933.75x = 29,705.06 × 29,705.06
  4. Step 4: Simplify right side
    18,933.75x = 882,390,738.13
  5. Step 5: Solve for x
    x = 882,390,738.13/18,933.75
  6. Step 6: Final answer
    x = 46,604.12

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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.