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Finding the Third Proportional to 19,701.75 and 30,141.75

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Solution

The third proportional to 19,701.75 and 30,141.75 is: 46,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701.75 : 30,141.75 = 30,141.75 : x
  2. Step 2: Convert to fraction form
    19,701.75/30,141.75 = 30,141.75/x
  3. Step 3: Cross multiply
    19,701.75x = 30,141.75 × 30,141.75
  4. Step 4: Simplify right side
    19,701.75x = 908,525,093.06
  5. Step 5: Solve for x
    x = 908,525,093.06/19,701.75
  6. Step 6: Final answer
    x = 46,113.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.