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Finding the Third Proportional to 1,903.50 and 4,476.38

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Solution

The third proportional to 1,903.50 and 4,476.38 is: 10,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.50 : 4,476.38 = 4,476.38 : x
  2. Step 2: Convert to fraction form
    1,903.50/4,476.38 = 4,476.38/x
  3. Step 3: Cross multiply
    1,903.50x = 4,476.38 × 4,476.38
  4. Step 4: Simplify right side
    1,903.50x = 20,037,933.14
  5. Step 5: Solve for x
    x = 20,037,933.14/1,903.50
  6. Step 6: Final answer
    x = 10,526.89

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.