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Finding the Third Proportional to 13,606.50 and 19,260

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Solution

The third proportional to 13,606.50 and 19,260 is: 27,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,606.50 : 19,260 = 19,260 : x
  2. Step 2: Convert to fraction form
    13,606.50/19,260 = 19,260/x
  3. Step 3: Cross multiply
    13,606.50x = 19,260 × 19,260
  4. Step 4: Simplify right side
    13,606.50x = 370,947,600
  5. Step 5: Solve for x
    x = 370,947,600/13,606.50
  6. Step 6: Final answer
    x = 27,262.53

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.