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Finding the Third Proportional to 4,974.50 and 10,428.50

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Solution

The third proportional to 4,974.50 and 10,428.50 is: 21,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.50 : 10,428.50 = 10,428.50 : x
  2. Step 2: Convert to fraction form
    4,974.50/10,428.50 = 10,428.50/x
  3. Step 3: Cross multiply
    4,974.50x = 10,428.50 × 10,428.50
  4. Step 4: Simplify right side
    4,974.50x = 108,753,612.25
  5. Step 5: Solve for x
    x = 108,753,612.25/4,974.50
  6. Step 6: Final answer
    x = 21,862.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.