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Finding the Third Proportional to 5,840 and 9,141

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Solution

The third proportional to 5,840 and 9,141 is: 14,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840 : 9,141 = 9,141 : x
  2. Step 2: Convert to fraction form
    5,840/9,141 = 9,141/x
  3. Step 3: Cross multiply
    5,840x = 9,141 × 9,141
  4. Step 4: Simplify right side
    5,840x = 83,557,881
  5. Step 5: Solve for x
    x = 83,557,881/5,840
  6. Step 6: Final answer
    x = 14,307.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.