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Finding the Third Proportional to 1,253.88 and 1,950.63

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Solution

The third proportional to 1,253.88 and 1,950.63 is: 3,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.88 : 1,950.63 = 1,950.63 : x
  2. Step 2: Convert to fraction form
    1,253.88/1,950.63 = 1,950.63/x
  3. Step 3: Cross multiply
    1,253.88x = 1,950.63 × 1,950.63
  4. Step 4: Simplify right side
    1,253.88x = 3,804,937.89
  5. Step 5: Solve for x
    x = 3,804,937.89/1,253.88
  6. Step 6: Final answer
    x = 3,034.54

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.