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Finding the Third Proportional to 7,241.80 and 15,262.07

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Solution

The third proportional to 7,241.80 and 15,262.07 is: 32,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.80 : 15,262.07 = 15,262.07 : x
  2. Step 2: Convert to fraction form
    7,241.80/15,262.07 = 15,262.07/x
  3. Step 3: Cross multiply
    7,241.80x = 15,262.07 × 15,262.07
  4. Step 4: Simplify right side
    7,241.80x = 232,930,670.99
  5. Step 5: Solve for x
    x = 232,930,670.99/7,241.80
  6. Step 6: Final answer
    x = 32,164.74

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.