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Finding the Third Proportional to 4,898.81 and 7,446.94

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Solution

The third proportional to 4,898.81 and 7,446.94 is: 11,320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.81 : 7,446.94 = 7,446.94 : x
  2. Step 2: Convert to fraction form
    4,898.81/7,446.94 = 7,446.94/x
  3. Step 3: Cross multiply
    4,898.81x = 7,446.94 × 7,446.94
  4. Step 4: Simplify right side
    4,898.81x = 55,456,878.13
  5. Step 5: Solve for x
    x = 55,456,878.13/4,898.81
  6. Step 6: Final answer
    x = 11,320.47

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.