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Finding the Third Proportional to 7,214.06 and 9,747.84

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Solution

The third proportional to 7,214.06 and 9,747.84 is: 13,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.06 : 9,747.84 = 9,747.84 : x
  2. Step 2: Convert to fraction form
    7,214.06/9,747.84 = 9,747.84/x
  3. Step 3: Cross multiply
    7,214.06x = 9,747.84 × 9,747.84
  4. Step 4: Simplify right side
    7,214.06x = 95,020,457.77
  5. Step 5: Solve for x
    x = 95,020,457.77/7,214.06
  6. Step 6: Final answer
    x = 13,171.56

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.