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Finding the Third Proportional to 7,434.56 and 10,742.06

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Solution

The third proportional to 7,434.56 and 10,742.06 is: 15,521.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.56 : 10,742.06 = 10,742.06 : x
  2. Step 2: Convert to fraction form
    7,434.56/10,742.06 = 10,742.06/x
  3. Step 3: Cross multiply
    7,434.56x = 10,742.06 × 10,742.06
  4. Step 4: Simplify right side
    7,434.56x = 115,391,906.75
  5. Step 5: Solve for x
    x = 115,391,906.75/7,434.56
  6. Step 6: Final answer
    x = 15,521.01

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.