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Finding the Third Proportional to 2,064 and 3,141

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Solution

The third proportional to 2,064 and 3,141 is: 4,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064 : 3,141 = 3,141 : x
  2. Step 2: Convert to fraction form
    2,064/3,141 = 3,141/x
  3. Step 3: Cross multiply
    2,064x = 3,141 × 3,141
  4. Step 4: Simplify right side
    2,064x = 9,865,881
  5. Step 5: Solve for x
    x = 9,865,881/2,064
  6. Step 6: Final answer
    x = 4,779.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.