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Finding the Third Proportional to 1,156.50 and 1,518.38

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Solution

The third proportional to 1,156.50 and 1,518.38 is: 1,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.50 : 1,518.38 = 1,518.38 : x
  2. Step 2: Convert to fraction form
    1,156.50/1,518.38 = 1,518.38/x
  3. Step 3: Cross multiply
    1,156.50x = 1,518.38 × 1,518.38
  4. Step 4: Simplify right side
    1,156.50x = 2,305,462.64
  5. Step 5: Solve for x
    x = 2,305,462.64/1,156.50
  6. Step 6: Final answer
    x = 1,993.48

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.