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Finding the Third Proportional to 7,522.44 and 11,641.93

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Solution

The third proportional to 7,522.44 and 11,641.93 is: 18,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.44 : 11,641.93 = 11,641.93 : x
  2. Step 2: Convert to fraction form
    7,522.44/11,641.93 = 11,641.93/x
  3. Step 3: Cross multiply
    7,522.44x = 11,641.93 × 11,641.93
  4. Step 4: Simplify right side
    7,522.44x = 135,534,549.59
  5. Step 5: Solve for x
    x = 135,534,549.59/7,522.44
  6. Step 6: Final answer
    x = 18,017.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.