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Finding the Third Proportional to 7,434.50 and 10,570.75

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Solution

The third proportional to 7,434.50 and 10,570.75 is: 15,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.50 : 10,570.75 = 10,570.75 : x
  2. Step 2: Convert to fraction form
    7,434.50/10,570.75 = 10,570.75/x
  3. Step 3: Cross multiply
    7,434.50x = 10,570.75 × 10,570.75
  4. Step 4: Simplify right side
    7,434.50x = 111,740,755.56
  5. Step 5: Solve for x
    x = 111,740,755.56/7,434.50
  6. Step 6: Final answer
    x = 15,030.03

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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.