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Finding the Third Proportional to 1,903.50 and 4,606.88

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Solution

The third proportional to 1,903.50 and 4,606.88 is: 11,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.50 : 4,606.88 = 4,606.88 : x
  2. Step 2: Convert to fraction form
    1,903.50/4,606.88 = 4,606.88/x
  3. Step 3: Cross multiply
    1,903.50x = 4,606.88 × 4,606.88
  4. Step 4: Simplify right side
    1,903.50x = 21,223,297.27
  5. Step 5: Solve for x
    x = 21,223,297.27/1,903.50
  6. Step 6: Final answer
    x = 11,149.62

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.