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Finding the Third Proportional to 7,241.91 and 9,673.17

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Solution

The third proportional to 7,241.91 and 9,673.17 is: 12,920.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.91 : 9,673.17 = 9,673.17 : x
  2. Step 2: Convert to fraction form
    7,241.91/9,673.17 = 9,673.17/x
  3. Step 3: Cross multiply
    7,241.91x = 9,673.17 × 9,673.17
  4. Step 4: Simplify right side
    7,241.91x = 93,570,254.12
  5. Step 5: Solve for x
    x = 93,570,254.12/7,241.91
  6. Step 6: Final answer
    x = 12,920.67

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.