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Finding the Third Proportional to 7,422.75 and 12,606.75

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Solution

The third proportional to 7,422.75 and 12,606.75 is: 21,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422.75 : 12,606.75 = 12,606.75 : x
  2. Step 2: Convert to fraction form
    7,422.75/12,606.75 = 12,606.75/x
  3. Step 3: Cross multiply
    7,422.75x = 12,606.75 × 12,606.75
  4. Step 4: Simplify right side
    7,422.75x = 158,930,145.56
  5. Step 5: Solve for x
    x = 158,930,145.56/7,422.75
  6. Step 6: Final answer
    x = 21,411.22

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.