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Finding the Third Proportional to 4,305.94 and 9,459

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Solution

The third proportional to 4,305.94 and 9,459 is: 20,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.94 : 9,459 = 9,459 : x
  2. Step 2: Convert to fraction form
    4,305.94/9,459 = 9,459/x
  3. Step 3: Cross multiply
    4,305.94x = 9,459 × 9,459
  4. Step 4: Simplify right side
    4,305.94x = 89,472,681
  5. Step 5: Solve for x
    x = 89,472,681/4,305.94
  6. Step 6: Final answer
    x = 20,778.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.