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Finding the Third Proportional to 7,677.28 and 12,222.14

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Solution

The third proportional to 7,677.28 and 12,222.14 is: 19,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.28 : 12,222.14 = 12,222.14 : x
  2. Step 2: Convert to fraction form
    7,677.28/12,222.14 = 12,222.14/x
  3. Step 3: Cross multiply
    7,677.28x = 12,222.14 × 12,222.14
  4. Step 4: Simplify right side
    7,677.28x = 149,380,721.46
  5. Step 5: Solve for x
    x = 149,380,721.46/7,677.28
  6. Step 6: Final answer
    x = 19,457.50

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.