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Finding the Third Proportional to 1,317.56 and 1,972.88

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Solution

The third proportional to 1,317.56 and 1,972.88 is: 2,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.56 : 1,972.88 = 1,972.88 : x
  2. Step 2: Convert to fraction form
    1,317.56/1,972.88 = 1,972.88/x
  3. Step 3: Cross multiply
    1,317.56x = 1,972.88 × 1,972.88
  4. Step 4: Simplify right side
    1,317.56x = 3,892,235.77
  5. Step 5: Solve for x
    x = 3,892,235.77/1,317.56
  6. Step 6: Final answer
    x = 2,954.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.