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Finding the Third Proportional to 1,927.63 and 4,142.03

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Solution

The third proportional to 1,927.63 and 4,142.03 is: 8,900.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.63 : 4,142.03 = 4,142.03 : x
  2. Step 2: Convert to fraction form
    1,927.63/4,142.03 = 4,142.03/x
  3. Step 3: Cross multiply
    1,927.63x = 4,142.03 × 4,142.03
  4. Step 4: Simplify right side
    1,927.63x = 17,156,422.88
  5. Step 5: Solve for x
    x = 17,156,422.88/1,927.63
  6. Step 6: Final answer
    x = 8,900.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.