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Finding the Third Proportional to 1,319.63 and 1,967.63

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Solution

The third proportional to 1,319.63 and 1,967.63 is: 2,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.63 : 1,967.63 = 1,967.63 : x
  2. Step 2: Convert to fraction form
    1,319.63/1,967.63 = 1,967.63/x
  3. Step 3: Cross multiply
    1,319.63x = 1,967.63 × 1,967.63
  4. Step 4: Simplify right side
    1,319.63x = 3,871,548.14
  5. Step 5: Solve for x
    x = 3,871,548.14/1,319.63
  6. Step 6: Final answer
    x = 2,933.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.