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Finding the Third Proportional to 5,102 and 11,140

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Solution

The third proportional to 5,102 and 11,140 is: 24,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102 : 11,140 = 11,140 : x
  2. Step 2: Convert to fraction form
    5,102/11,140 = 11,140/x
  3. Step 3: Cross multiply
    5,102x = 11,140 × 11,140
  4. Step 4: Simplify right side
    5,102x = 124,099,600
  5. Step 5: Solve for x
    x = 124,099,600/5,102
  6. Step 6: Final answer
    x = 24,323.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.