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Finding the Third Proportional to 1,554.75 and 4,017.38

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Solution

The third proportional to 1,554.75 and 4,017.38 is: 10,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.75 : 4,017.38 = 4,017.38 : x
  2. Step 2: Convert to fraction form
    1,554.75/4,017.38 = 4,017.38/x
  3. Step 3: Cross multiply
    1,554.75x = 4,017.38 × 4,017.38
  4. Step 4: Simplify right side
    1,554.75x = 16,139,301.89
  5. Step 5: Solve for x
    x = 16,139,301.89/1,554.75
  6. Step 6: Final answer
    x = 10,380.64

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These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.