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Finding the Third Proportional to 1,885.94 and 4,143.31

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Solution

The third proportional to 1,885.94 and 4,143.31 is: 9,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.94 : 4,143.31 = 4,143.31 : x
  2. Step 2: Convert to fraction form
    1,885.94/4,143.31 = 4,143.31/x
  3. Step 3: Cross multiply
    1,885.94x = 4,143.31 × 4,143.31
  4. Step 4: Simplify right side
    1,885.94x = 17,167,038.47
  5. Step 5: Solve for x
    x = 17,167,038.47/1,885.94
  6. Step 6: Final answer
    x = 9,102.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.