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Finding the Third Proportional to 5,602.50 and 9,954.56

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Solution

The third proportional to 5,602.50 and 9,954.56 is: 17,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.50 : 9,954.56 = 9,954.56 : x
  2. Step 2: Convert to fraction form
    5,602.50/9,954.56 = 9,954.56/x
  3. Step 3: Cross multiply
    5,602.50x = 9,954.56 × 9,954.56
  4. Step 4: Simplify right side
    5,602.50x = 99,093,314.57
  5. Step 5: Solve for x
    x = 99,093,314.57/5,602.50
  6. Step 6: Final answer
    x = 17,687.34

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.